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Finding the Fourth Proportional to 414,240, 571,645.76 and 232,951.88

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Solution

The fourth proportional to 414,240, 571,645.76 and 232,951.88 is: 321,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,240 : 571,645.76 = 232,951.88 : x
  2. Step 2: Convert to fraction form
    414,240/571,645.76 = 232,951.88/x
  3. Step 3: Cross multiply
    414,240x = 571,645.76 × 232,951.88
  4. Step 4: Simplify right side
    414,240x = 133,165,953,321.27
  5. Step 5: Solve for x
    x = 133,165,953,321.27/414,240
  6. Step 6: Final answer
    x = 321,470.53

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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.