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Finding the Fourth Proportional to 408,239.71, 563,390.03 and 226,954.66

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Solution

The fourth proportional to 408,239.71, 563,390.03 and 226,954.66 is: 313,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,239.71 : 563,390.03 = 226,954.66 : x
  2. Step 2: Convert to fraction form
    408,239.71/563,390.03 = 226,954.66/x
  3. Step 3: Cross multiply
    408,239.71x = 563,390.03 × 226,954.66
  4. Step 4: Simplify right side
    408,239.71x = 127,863,992,706.04
  5. Step 5: Solve for x
    x = 127,863,992,706.04/408,239.71
  6. Step 6: Final answer
    x = 313,208.12

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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.