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Finding the Fourth Proportional to 414,141.43, 571,508.85 and 232,853.53

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Solution

The fourth proportional to 414,141.43, 571,508.85 and 232,853.53 is: 321,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,141.43 : 571,508.85 = 232,853.53 : x
  2. Step 2: Convert to fraction form
    414,141.43/571,508.85 = 232,853.53/x
  3. Step 3: Cross multiply
    414,141.43x = 571,508.85 × 232,853.53
  4. Step 4: Simplify right side
    414,141.43x = 133,077,853,148.74
  5. Step 5: Solve for x
    x = 133,077,853,148.74/414,141.43
  6. Step 6: Final answer
    x = 321,334.32

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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.