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Finding the Fourth Proportional to 552,643.20, 829,159.20 and 271,972.80

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Solution

The fourth proportional to 552,643.20, 829,159.20 and 271,972.80 is: 408,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,643.20 : 829,159.20 = 271,972.80 : x
  2. Step 2: Convert to fraction form
    552,643.20/829,159.20 = 271,972.80/x
  3. Step 3: Cross multiply
    552,643.20x = 829,159.20 × 271,972.80
  4. Step 4: Simplify right side
    552,643.20x = 225,508,749,269.76
  5. Step 5: Solve for x
    x = 225,508,749,269.76/552,643.20
  6. Step 6: Final answer
    x = 408,054.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.