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Finding the Fourth Proportional to 417,678.28, 576,396.54 and 226,691.64

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Solution

The fourth proportional to 417,678.28, 576,396.54 and 226,691.64 is: 312,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,678.28 : 576,396.54 = 226,691.64 : x
  2. Step 2: Convert to fraction form
    417,678.28/576,396.54 = 226,691.64/x
  3. Step 3: Cross multiply
    417,678.28x = 576,396.54 × 226,691.64
  4. Step 4: Simplify right side
    417,678.28x = 130,664,276,942.93
  5. Step 5: Solve for x
    x = 130,664,276,942.93/417,678.28
  6. Step 6: Final answer
    x = 312,834.74

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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.