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Finding the Fourth Proportional to 468,472.80, 702,711 and 113,486.16

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Solution

The fourth proportional to 468,472.80, 702,711 and 113,486.16 is: 170,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,472.80 : 702,711 = 113,486.16 : x
  2. Step 2: Convert to fraction form
    468,472.80/702,711 = 113,486.16/x
  3. Step 3: Cross multiply
    468,472.80x = 702,711 × 113,486.16
  4. Step 4: Simplify right side
    468,472.80x = 79,747,972,979.76
  5. Step 5: Solve for x
    x = 79,747,972,979.76/468,472.80
  6. Step 6: Final answer
    x = 170,229.68

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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.