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Finding the Fourth Proportional to 411,773.29, 617,641.74 and 112,253.89

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Solution

The fourth proportional to 411,773.29, 617,641.74 and 112,253.89 is: 168,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,773.29 : 617,641.74 = 112,253.89 : x
  2. Step 2: Convert to fraction form
    411,773.29/617,641.74 = 112,253.89/x
  3. Step 3: Cross multiply
    411,773.29x = 617,641.74 × 112,253.89
  4. Step 4: Simplify right side
    411,773.29x = 69,332,687,941.37
  5. Step 5: Solve for x
    x = 69,332,687,941.37/411,773.29
  6. Step 6: Final answer
    x = 168,375.87

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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.