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Finding the Fourth Proportional to 417,678.32, 576,396.66 and 226,691.71

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Solution

The fourth proportional to 417,678.32, 576,396.66 and 226,691.71 is: 312,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,678.32 : 576,396.66 = 226,691.71 : x
  2. Step 2: Convert to fraction form
    417,678.32/576,396.66 = 226,691.71/x
  3. Step 3: Cross multiply
    417,678.32x = 576,396.66 × 226,691.71
  4. Step 4: Simplify right side
    417,678.32x = 130,664,345,869.88
  5. Step 5: Solve for x
    x = 130,664,345,869.88/417,678.32
  6. Step 6: Final answer
    x = 312,834.88

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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.