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Finding the Fourth Proportional to 272,500.80, 408,751.20 and 209,442.30

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Solution

The fourth proportional to 272,500.80, 408,751.20 and 209,442.30 is: 314,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,500.80 : 408,751.20 = 209,442.30 : x
  2. Step 2: Convert to fraction form
    272,500.80/408,751.20 = 209,442.30/x
  3. Step 3: Cross multiply
    272,500.80x = 408,751.20 × 209,442.30
  4. Step 4: Simplify right side
    272,500.80x = 85,609,791,455.76
  5. Step 5: Solve for x
    x = 85,609,791,455.76/272,500.80
  6. Step 6: Final answer
    x = 314,163.45

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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.