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Finding the Fourth Proportional to 417,677.76, 576,395.87 and 226,691.15

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Solution

The fourth proportional to 417,677.76, 576,395.87 and 226,691.15 is: 312,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,677.76 : 576,395.87 = 226,691.15 : x
  2. Step 2: Convert to fraction form
    417,677.76/576,395.87 = 226,691.15/x
  3. Step 3: Cross multiply
    417,677.76x = 576,395.87 × 226,691.15
  4. Step 4: Simplify right side
    417,677.76x = 130,663,838,610.12
  5. Step 5: Solve for x
    x = 130,663,838,610.12/417,677.76
  6. Step 6: Final answer
    x = 312,834.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.