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Finding the Fourth Proportional to 411,414.10, 617,180.18 and 127,129.47

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Solution

The fourth proportional to 411,414.10, 617,180.18 and 127,129.47 is: 190,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,414.10 : 617,180.18 = 127,129.47 : x
  2. Step 2: Convert to fraction form
    411,414.10/617,180.18 = 127,129.47/x
  3. Step 3: Cross multiply
    411,414.10x = 617,180.18 × 127,129.47
  4. Step 4: Simplify right side
    411,414.10x = 78,461,789,177.90
  5. Step 5: Solve for x
    x = 78,461,789,177.90/411,414.10
  6. Step 6: Final answer
    x = 190,712.45

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1.5x scale

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.