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Finding the Fourth Proportional to 408,238.71, 563,644.34 and 365,084.31

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Solution

The fourth proportional to 408,238.71, 563,644.34 and 365,084.31 is: 504,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,238.71 : 563,644.34 = 365,084.31 : x
  2. Step 2: Convert to fraction form
    408,238.71/563,644.34 = 365,084.31/x
  3. Step 3: Cross multiply
    408,238.71x = 563,644.34 × 365,084.31
  4. Step 4: Simplify right side
    408,238.71x = 205,777,703,128.88
  5. Step 5: Solve for x
    x = 205,777,703,128.88/408,238.71
  6. Step 6: Final answer
    x = 504,062.20

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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.