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Finding the Fourth Proportional to 417,713.41, 576,445.04 and 226,726.75

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Solution

The fourth proportional to 417,713.41, 576,445.04 and 226,726.75 is: 312,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,713.41 : 576,445.04 = 226,726.75 : x
  2. Step 2: Convert to fraction form
    417,713.41/576,445.04 = 226,726.75/x
  3. Step 3: Cross multiply
    417,713.41x = 576,445.04 × 226,726.75
  4. Step 4: Simplify right side
    417,713.41x = 130,695,510,472.82
  5. Step 5: Solve for x
    x = 130,695,510,472.82/417,713.41
  6. Step 6: Final answer
    x = 312,883.20

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