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Finding the Fourth Proportional to 542,906.71, 814,366.34 and 163,830.73

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Solution

The fourth proportional to 542,906.71, 814,366.34 and 163,830.73 is: 245,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,906.71 : 814,366.34 = 163,830.73 : x
  2. Step 2: Convert to fraction form
    542,906.71/814,366.34 = 163,830.73/x
  3. Step 3: Cross multiply
    542,906.71x = 814,366.34 × 163,830.73
  4. Step 4: Simplify right side
    542,906.71x = 133,418,229,114.56
  5. Step 5: Solve for x
    x = 133,418,229,114.56/542,906.71
  6. Step 6: Final answer
    x = 245,747.98

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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.