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Finding the Fourth Proportional to 288,001.96, 396,990.15 and 197,200.91

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Solution

The fourth proportional to 288,001.96, 396,990.15 and 197,200.91 is: 271,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,001.96 : 396,990.15 = 197,200.91 : x
  2. Step 2: Convert to fraction form
    288,001.96/396,990.15 = 197,200.91/x
  3. Step 3: Cross multiply
    288,001.96x = 396,990.15 × 197,200.91
  4. Step 4: Simplify right side
    288,001.96x = 78,286,818,841.04
  5. Step 5: Solve for x
    x = 78,286,818,841.04/288,001.96
  6. Step 6: Final answer
    x = 271,827.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.