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Finding the Fourth Proportional to 538,442.40, 807,469.20 and 272,114.40

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Solution

The fourth proportional to 538,442.40, 807,469.20 and 272,114.40 is: 408,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,442.40 : 807,469.20 = 272,114.40 : x
  2. Step 2: Convert to fraction form
    538,442.40/807,469.20 = 272,114.40/x
  3. Step 3: Cross multiply
    538,442.40x = 807,469.20 × 272,114.40
  4. Step 4: Simplify right side
    538,442.40x = 219,723,996,876.48
  5. Step 5: Solve for x
    x = 219,723,996,876.48/538,442.40
  6. Step 6: Final answer
    x = 408,073.36

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1.5x scale

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.