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Finding the Fourth Proportional to 253,309.60, 349,864.68 and 202,498.30

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Solution

The fourth proportional to 253,309.60, 349,864.68 and 202,498.30 is: 279,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,309.60 : 349,864.68 = 202,498.30 : x
  2. Step 2: Convert to fraction form
    253,309.60/349,864.68 = 202,498.30/x
  3. Step 3: Cross multiply
    253,309.60x = 349,864.68 × 202,498.30
  4. Step 4: Simplify right side
    253,309.60x = 70,847,002,930.04
  5. Step 5: Solve for x
    x = 70,847,002,930.04/253,309.60
  6. Step 6: Final answer
    x = 279,685.42

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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.