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Finding the Fourth Proportional to 510,082.10, 765,123.15 and 431,350.10

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Solution

The fourth proportional to 510,082.10, 765,123.15 and 431,350.10 is: 647,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,082.10 : 765,123.15 = 431,350.10 : x
  2. Step 2: Convert to fraction form
    510,082.10/765,123.15 = 431,350.10/x
  3. Step 3: Cross multiply
    510,082.10x = 765,123.15 × 431,350.10
  4. Step 4: Simplify right side
    510,082.10x = 330,035,947,264.82
  5. Step 5: Solve for x
    x = 330,035,947,264.82/510,082.10
  6. Step 6: Final answer
    x = 647,025.15

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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.