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Finding the Fourth Proportional to 522,050.20, 782,419.20 and 255,236.20

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Solution

The fourth proportional to 522,050.20, 782,419.20 and 255,236.20 is: 382,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,050.20 : 782,419.20 = 255,236.20 : x
  2. Step 2: Convert to fraction form
    522,050.20/782,419.20 = 255,236.20/x
  3. Step 3: Cross multiply
    522,050.20x = 782,419.20 × 255,236.20
  4. Step 4: Simplify right side
    522,050.20x = 199,701,703,415.04
  5. Step 5: Solve for x
    x = 199,701,703,415.04/522,050.20
  6. Step 6: Final answer
    x = 382,533.53

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.