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Finding the Fourth Proportional to 411,951.52, 617,627.87 and 172,134.07

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Solution

The fourth proportional to 411,951.52, 617,627.87 and 172,134.07 is: 258,076.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,951.52 : 617,627.87 = 172,134.07 : x
  2. Step 2: Convert to fraction form
    411,951.52/617,627.87 = 172,134.07/x
  3. Step 3: Cross multiply
    411,951.52x = 617,627.87 × 172,134.07
  4. Step 4: Simplify right side
    411,951.52x = 106,314,799,002.36
  5. Step 5: Solve for x
    x = 106,314,799,002.36/411,951.52
  6. Step 6: Final answer
    x = 258,076.00

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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.