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Finding the Fourth Proportional to 359,682.34, 496,358.86 and 198,537.30

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Solution

The fourth proportional to 359,682.34, 496,358.86 and 198,537.30 is: 273,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,682.34 : 496,358.86 = 198,537.30 : x
  2. Step 2: Convert to fraction form
    359,682.34/496,358.86 = 198,537.30/x
  3. Step 3: Cross multiply
    359,682.34x = 496,358.86 × 198,537.30
  4. Step 4: Simplify right side
    359,682.34x = 98,545,747,895.48
  5. Step 5: Solve for x
    x = 98,545,747,895.48/359,682.34
  6. Step 6: Final answer
    x = 273,979.95

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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.