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Finding the Fourth Proportional to 462,862.53, 694,309.13 and 159,253.77

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Solution

The fourth proportional to 462,862.53, 694,309.13 and 159,253.77 is: 238,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,862.53 : 694,309.13 = 159,253.77 : x
  2. Step 2: Convert to fraction form
    462,862.53/694,309.13 = 159,253.77/x
  3. Step 3: Cross multiply
    462,862.53x = 694,309.13 × 159,253.77
  4. Step 4: Simplify right side
    462,862.53x = 110,571,346,497.92
  5. Step 5: Solve for x
    x = 110,571,346,497.92/462,862.53
  6. Step 6: Final answer
    x = 238,885.93

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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.