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Finding the Fourth Proportional to 464,561.73, 696,371.99 and 314,817.17

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Solution

The fourth proportional to 464,561.73, 696,371.99 and 314,817.17 is: 471,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,561.73 : 696,371.99 = 314,817.17 : x
  2. Step 2: Convert to fraction form
    464,561.73/696,371.99 = 314,817.17/x
  3. Step 3: Cross multiply
    464,561.73x = 696,371.99 × 314,817.17
  4. Step 4: Simplify right side
    464,561.73x = 219,229,854,103.12
  5. Step 5: Solve for x
    x = 219,229,854,103.12/464,561.73
  6. Step 6: Final answer
    x = 471,906.83

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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.