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Finding the Fourth Proportional to 422,491.68, 633,737.98 and 106,948.58

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Solution

The fourth proportional to 422,491.68, 633,737.98 and 106,948.58 is: 160,422.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,491.68 : 633,737.98 = 106,948.58 : x
  2. Step 2: Convert to fraction form
    422,491.68/633,737.98 = 106,948.58/x
  3. Step 3: Cross multiply
    422,491.68x = 633,737.98 × 106,948.58
  4. Step 4: Simplify right side
    422,491.68x = 67,777,377,053.07
  5. Step 5: Solve for x
    x = 67,777,377,053.07/422,491.68
  6. Step 6: Final answer
    x = 160,422.99

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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.