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Finding the Fourth Proportional to 542,906.96, 814,366.71 and 163,830.97

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Solution

The fourth proportional to 542,906.96, 814,366.71 and 163,830.97 is: 245,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,906.96 : 814,366.71 = 163,830.97 : x
  2. Step 2: Convert to fraction form
    542,906.96/814,366.71 = 163,830.97/x
  3. Step 3: Cross multiply
    542,906.96x = 814,366.71 × 163,830.97
  4. Step 4: Simplify right side
    542,906.96x = 133,418,488,035.01
  5. Step 5: Solve for x
    x = 133,418,488,035.01/542,906.96
  6. Step 6: Final answer
    x = 245,748.35

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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.