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Finding the Fourth Proportional to 417,711.54, 576,442.44 and 226,725

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Solution

The fourth proportional to 417,711.54, 576,442.44 and 226,725 is: 312,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,711.54 : 576,442.44 = 226,725 : x
  2. Step 2: Convert to fraction form
    417,711.54/576,442.44 = 226,725/x
  3. Step 3: Cross multiply
    417,711.54x = 576,442.44 × 226,725
  4. Step 4: Simplify right side
    417,711.54x = 130,693,912,209.00
  5. Step 5: Solve for x
    x = 130,693,912,209.00/417,711.54
  6. Step 6: Final answer
    x = 312,880.78

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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.