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Finding the Fourth Proportional to 414,247.38, 571,655.95 and 232,959.25

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Solution

The fourth proportional to 414,247.38, 571,655.95 and 232,959.25 is: 321,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,247.38 : 571,655.95 = 232,959.25 : x
  2. Step 2: Convert to fraction form
    414,247.38/571,655.95 = 232,959.25/x
  3. Step 3: Cross multiply
    414,247.38x = 571,655.95 × 232,959.25
  4. Step 4: Simplify right side
    414,247.38x = 133,172,541,370.04
  5. Step 5: Solve for x
    x = 133,172,541,370.04/414,247.38
  6. Step 6: Final answer
    x = 321,480.71

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Why These Related Problems?

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