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Finding the Fourth Proportional to 411,772.29, 617,640.24 and 112,252.89

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Solution

The fourth proportional to 411,772.29, 617,640.24 and 112,252.89 is: 168,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,772.29 : 617,640.24 = 112,252.89 : x
  2. Step 2: Convert to fraction form
    411,772.29/617,640.24 = 112,252.89/x
  3. Step 3: Cross multiply
    411,772.29x = 617,640.24 × 112,252.89
  4. Step 4: Simplify right side
    411,772.29x = 69,331,901,920.29
  5. Step 5: Solve for x
    x = 69,331,901,920.29/411,772.29
  6. Step 6: Final answer
    x = 168,374.37

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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.