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Finding the Fourth Proportional to 408,166.52, 563,237.40 and 226,864.22

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Solution

The fourth proportional to 408,166.52, 563,237.40 and 226,864.22 is: 313,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,166.52 : 563,237.40 = 226,864.22 : x
  2. Step 2: Convert to fraction form
    408,166.52/563,237.40 = 226,864.22/x
  3. Step 3: Cross multiply
    408,166.52x = 563,237.40 × 226,864.22
  4. Step 4: Simplify right side
    408,166.52x = 127,778,413,425.83
  5. Step 5: Solve for x
    x = 127,778,413,425.83/408,166.52
  6. Step 6: Final answer
    x = 313,054.62

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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.