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Finding the Fourth Proportional to 424,713.96, 586,105.34 and 233,727.36

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Solution

The fourth proportional to 424,713.96, 586,105.34 and 233,727.36 is: 322,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,713.96 : 586,105.34 = 233,727.36 : x
  2. Step 2: Convert to fraction form
    424,713.96/586,105.34 = 233,727.36/x
  3. Step 3: Cross multiply
    424,713.96x = 586,105.34 × 233,727.36
  4. Step 4: Simplify right side
    424,713.96x = 136,988,853,800.10
  5. Step 5: Solve for x
    x = 136,988,853,800.10/424,713.96
  6. Step 6: Final answer
    x = 322,543.80

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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.