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Finding the Fourth Proportional to 459,476.49, 689,123.87 and 436,691.31

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Solution

The fourth proportional to 459,476.49, 689,123.87 and 436,691.31 is: 654,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,476.49 : 689,123.87 = 436,691.31 : x
  2. Step 2: Convert to fraction form
    459,476.49/689,123.87 = 436,691.31/x
  3. Step 3: Cross multiply
    459,476.49x = 689,123.87 × 436,691.31
  4. Step 4: Simplify right side
    459,476.49x = 300,934,403,359.11
  5. Step 5: Solve for x
    x = 300,934,403,359.11/459,476.49
  6. Step 6: Final answer
    x = 654,950.60

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