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Finding the Fourth Proportional to 523,061.76, 721,549.17 and 431,885.73

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Solution

The fourth proportional to 523,061.76, 721,549.17 and 431,885.73 is: 595,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,061.76 : 721,549.17 = 431,885.73 : x
  2. Step 2: Convert to fraction form
    523,061.76/721,549.17 = 431,885.73/x
  3. Step 3: Cross multiply
    523,061.76x = 721,549.17 × 431,885.73
  4. Step 4: Simplify right side
    523,061.76x = 311,626,790,016.34
  5. Step 5: Solve for x
    x = 311,626,790,016.34/523,061.76
  6. Step 6: Final answer
    x = 595,774.37

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.