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Finding the Fourth Proportional to 408,474.30, 563,539.91 and 253,353.84

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Solution

The fourth proportional to 408,474.30, 563,539.91 and 253,353.84 is: 349,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,474.30 : 563,539.91 = 253,353.84 : x
  2. Step 2: Convert to fraction form
    408,474.30/563,539.91 = 253,353.84/x
  3. Step 3: Cross multiply
    408,474.30x = 563,539.91 × 253,353.84
  4. Step 4: Simplify right side
    408,474.30x = 142,775,000,191.75
  5. Step 5: Solve for x
    x = 142,775,000,191.75/408,474.30
  6. Step 6: Final answer
    x = 349,532.39

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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.