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Finding the Fourth Proportional to 522,076.35, 783,114.53 and 242,140.35

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Solution

The fourth proportional to 522,076.35, 783,114.53 and 242,140.35 is: 363,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,076.35 : 783,114.53 = 242,140.35 : x
  2. Step 2: Convert to fraction form
    522,076.35/783,114.53 = 242,140.35/x
  3. Step 3: Cross multiply
    522,076.35x = 783,114.53 × 242,140.35
  4. Step 4: Simplify right side
    522,076.35x = 189,623,625,173.58
  5. Step 5: Solve for x
    x = 189,623,625,173.58/522,076.35
  6. Step 6: Final answer
    x = 363,210.53

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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.