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Finding the Fourth Proportional to 462,869.75, 694,125.15 and 159,206.17

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Solution

The fourth proportional to 462,869.75, 694,125.15 and 159,206.17 is: 238,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,869.75 : 694,125.15 = 159,206.17 : x
  2. Step 2: Convert to fraction form
    462,869.75/694,125.15 = 159,206.17/x
  3. Step 3: Cross multiply
    462,869.75x = 694,125.15 × 159,206.17
  4. Step 4: Simplify right side
    462,869.75x = 110,509,002,365.52
  5. Step 5: Solve for x
    x = 110,509,002,365.52/462,869.75
  6. Step 6: Final answer
    x = 238,747.51

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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.