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Finding the Fourth Proportional to 522,096.20, 783,144.30 and 459,888.20

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Solution

The fourth proportional to 522,096.20, 783,144.30 and 459,888.20 is: 689,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,096.20 : 783,144.30 = 459,888.20 : x
  2. Step 2: Convert to fraction form
    522,096.20/783,144.30 = 459,888.20/x
  3. Step 3: Cross multiply
    522,096.20x = 783,144.30 × 459,888.20
  4. Step 4: Simplify right side
    522,096.20x = 360,158,822,467.26
  5. Step 5: Solve for x
    x = 360,158,822,467.26/522,096.20
  6. Step 6: Final answer
    x = 689,832.30

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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.