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Finding the Fourth Proportional to 414,365.97, 571,820.89 and 230,601.46

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Solution

The fourth proportional to 414,365.97, 571,820.89 and 230,601.46 is: 318,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,365.97 : 571,820.89 = 230,601.46 : x
  2. Step 2: Convert to fraction form
    414,365.97/571,820.89 = 230,601.46/x
  3. Step 3: Cross multiply
    414,365.97x = 571,820.89 × 230,601.46
  4. Step 4: Simplify right side
    414,365.97x = 131,862,730,939.49
  5. Step 5: Solve for x
    x = 131,862,730,939.49/414,365.97
  6. Step 6: Final answer
    x = 318,227.70

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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.