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Finding the Fourth Proportional to 408,262.50, 563,370.27 and 226,963.38

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Solution

The fourth proportional to 408,262.50, 563,370.27 and 226,963.38 is: 313,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,262.50 : 563,370.27 = 226,963.38 : x
  2. Step 2: Convert to fraction form
    408,262.50/563,370.27 = 226,963.38/x
  3. Step 3: Cross multiply
    408,262.50x = 563,370.27 × 226,963.38
  4. Step 4: Simplify right side
    408,262.50x = 127,864,420,670.71
  5. Step 5: Solve for x
    x = 127,864,420,670.71/408,262.50
  6. Step 6: Final answer
    x = 313,191.69

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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.