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Finding the Fourth Proportional to 424,713.26, 586,104.39 and 233,726.66

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Solution

The fourth proportional to 424,713.26, 586,104.39 and 233,726.66 is: 322,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,713.26 : 586,104.39 = 233,726.66 : x
  2. Step 2: Convert to fraction form
    424,713.26/586,104.39 = 233,726.66/x
  3. Step 3: Cross multiply
    424,713.26x = 586,104.39 × 233,726.66
  4. Step 4: Simplify right side
    424,713.26x = 136,988,217,386.88
  5. Step 5: Solve for x
    x = 136,988,217,386.88/424,713.26
  6. Step 6: Final answer
    x = 322,542.83

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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.