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Finding the Fourth Proportional to 462,744.50, 694,132.16 and 159,135.71

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Solution

The fourth proportional to 462,744.50, 694,132.16 and 159,135.71 is: 238,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,744.50 : 694,132.16 = 159,135.71 : x
  2. Step 2: Convert to fraction form
    462,744.50/694,132.16 = 159,135.71/x
  3. Step 3: Cross multiply
    462,744.50x = 694,132.16 × 159,135.71
  4. Step 4: Simplify right side
    462,744.50x = 110,461,209,849.09
  5. Step 5: Solve for x
    x = 110,461,209,849.09/462,744.50
  6. Step 6: Final answer
    x = 238,708.86

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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.