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Finding the Fourth Proportional to 242,412.80, 363,123.47 and 197,593.88

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Solution

The fourth proportional to 242,412.80, 363,123.47 and 197,593.88 is: 295,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,412.80 : 363,123.47 = 197,593.88 : x
  2. Step 2: Convert to fraction form
    242,412.80/363,123.47 = 197,593.88/x
  3. Step 3: Cross multiply
    242,412.80x = 363,123.47 × 197,593.88
  4. Step 4: Simplify right side
    242,412.80x = 71,750,974,034.73
  5. Step 5: Solve for x
    x = 71,750,974,034.73/242,412.80
  6. Step 6: Final answer
    x = 295,986.74

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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.