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Finding the Fourth Proportional to 408,210.30, 563,327.19 and 226,938.78

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Solution

The fourth proportional to 408,210.30, 563,327.19 and 226,938.78 is: 313,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,210.30 : 563,327.19 = 226,938.78 : x
  2. Step 2: Convert to fraction form
    408,210.30/563,327.19 = 226,938.78/x
  3. Step 3: Cross multiply
    408,210.30x = 563,327.19 × 226,938.78
  4. Step 4: Simplify right side
    408,210.30x = 127,840,785,239.43
  5. Step 5: Solve for x
    x = 127,840,785,239.43/408,210.30
  6. Step 6: Final answer
    x = 313,173.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.