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Finding the Fourth Proportional to 408,265.52, 563,374.41 and 226,966.42

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Solution

The fourth proportional to 408,265.52, 563,374.41 and 226,966.42 is: 313,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,265.52 : 563,374.41 = 226,966.42 : x
  2. Step 2: Convert to fraction form
    408,265.52/563,374.41 = 226,966.42/x
  3. Step 3: Cross multiply
    408,265.52x = 563,374.41 × 226,966.42
  4. Step 4: Simplify right side
    408,265.52x = 127,867,072,957.31
  5. Step 5: Solve for x
    x = 127,867,072,957.31/408,265.52
  6. Step 6: Final answer
    x = 313,195.87

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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.