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Finding the Fourth Proportional to 552,656.20, 829,178.70 and 271,985.80

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Solution

The fourth proportional to 552,656.20, 829,178.70 and 271,985.80 is: 408,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,656.20 : 829,178.70 = 271,985.80 : x
  2. Step 2: Convert to fraction form
    552,656.20/829,178.70 = 271,985.80/x
  3. Step 3: Cross multiply
    552,656.20x = 829,178.70 × 271,985.80
  4. Step 4: Simplify right side
    552,656.20x = 225,524,832,062.46
  5. Step 5: Solve for x
    x = 225,524,832,062.46/552,656.20
  6. Step 6: Final answer
    x = 408,074.37

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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.