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Finding the Fourth Proportional to 414,078.46, 571,414.94 and 232,798

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Solution

The fourth proportional to 414,078.46, 571,414.94 and 232,798 is: 321,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,078.46 : 571,414.94 = 232,798 : x
  2. Step 2: Convert to fraction form
    414,078.46/571,414.94 = 232,798/x
  3. Step 3: Cross multiply
    414,078.46x = 571,414.94 × 232,798
  4. Step 4: Simplify right side
    414,078.46x = 133,024,255,202.12
  5. Step 5: Solve for x
    x = 133,024,255,202.12/414,078.46
  6. Step 6: Final answer
    x = 321,253.74

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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.