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Finding the Fourth Proportional to 417,658.71, 576,369.42 and 226,672.16

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Solution

The fourth proportional to 417,658.71, 576,369.42 and 226,672.16 is: 312,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,658.71 : 576,369.42 = 226,672.16 : x
  2. Step 2: Convert to fraction form
    417,658.71/576,369.42 = 226,672.16/x
  3. Step 3: Cross multiply
    417,658.71x = 576,369.42 × 226,672.16
  4. Step 4: Simplify right side
    417,658.71x = 130,646,898,932.51
  5. Step 5: Solve for x
    x = 130,646,898,932.51/417,658.71
  6. Step 6: Final answer
    x = 312,807.79

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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.