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Finding the Fourth Proportional to 411,529.84, 617,353.92 and 127,242.55

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Solution

The fourth proportional to 411,529.84, 617,353.92 and 127,242.55 is: 190,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,529.84 : 617,353.92 = 127,242.55 : x
  2. Step 2: Convert to fraction form
    411,529.84/617,353.92 = 127,242.55/x
  3. Step 3: Cross multiply
    411,529.84x = 617,353.92 × 127,242.55
  4. Step 4: Simplify right side
    411,529.84x = 78,553,687,033.30
  5. Step 5: Solve for x
    x = 78,553,687,033.30/411,529.84
  6. Step 6: Final answer
    x = 190,882.12

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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.