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Finding the Fourth Proportional to 238,554.66, 357,794.42 and 198,286.76

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Solution

The fourth proportional to 238,554.66, 357,794.42 and 198,286.76 is: 297,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,554.66 : 357,794.42 = 198,286.76 : x
  2. Step 2: Convert to fraction form
    238,554.66/357,794.42 = 198,286.76/x
  3. Step 3: Cross multiply
    238,554.66x = 357,794.42 × 198,286.76
  4. Step 4: Simplify right side
    238,554.66x = 70,945,893,507.47
  5. Step 5: Solve for x
    x = 70,945,893,507.47/238,554.66
  6. Step 6: Final answer
    x = 297,398.90

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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.