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Finding the Fourth Proportional to 359,788.60, 496,538.22 and 198,658.36

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Solution

The fourth proportional to 359,788.60, 496,538.22 and 198,658.36 is: 274,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,788.60 : 496,538.22 = 198,658.36 : x
  2. Step 2: Convert to fraction form
    359,788.60/496,538.22 = 198,658.36/x
  3. Step 3: Cross multiply
    359,788.60x = 496,538.22 × 198,658.36
  4. Step 4: Simplify right side
    359,788.60x = 98,641,468,462.52
  5. Step 5: Solve for x
    x = 98,641,468,462.52/359,788.60
  6. Step 6: Final answer
    x = 274,165.07

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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.