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Finding the Fourth Proportional to 408,402.76, 563,513.22 and 238,604.08

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Solution

The fourth proportional to 408,402.76, 563,513.22 and 238,604.08 is: 329,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,402.76 : 563,513.22 = 238,604.08 : x
  2. Step 2: Convert to fraction form
    408,402.76/563,513.22 = 238,604.08/x
  3. Step 3: Cross multiply
    408,402.76x = 563,513.22 × 238,604.08
  4. Step 4: Simplify right side
    408,402.76x = 134,456,553,425.94
  5. Step 5: Solve for x
    x = 134,456,553,425.94/408,402.76
  6. Step 6: Final answer
    x = 329,225.38

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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.