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Finding the Fourth Proportional to 359,732.97, 496,435.52 and 198,588.11

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Solution

The fourth proportional to 359,732.97, 496,435.52 and 198,588.11 is: 274,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,732.97 : 496,435.52 = 198,588.11 : x
  2. Step 2: Convert to fraction form
    359,732.97/496,435.52 = 198,588.11/x
  3. Step 3: Cross multiply
    359,732.97x = 496,435.52 × 198,588.11
  4. Step 4: Simplify right side
    359,732.97x = 98,586,189,667.96
  5. Step 5: Solve for x
    x = 98,586,189,667.96/359,732.97
  6. Step 6: Final answer
    x = 274,053.81

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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.