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Finding the Fourth Proportional to 359,679.30, 496,357.52 and 198,534.44

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Solution

The fourth proportional to 359,679.30, 496,357.52 and 198,534.44 is: 273,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,679.30 : 496,357.52 = 198,534.44 : x
  2. Step 2: Convert to fraction form
    359,679.30/496,357.52 = 198,534.44/x
  3. Step 3: Cross multiply
    359,679.30x = 496,357.52 × 198,534.44
  4. Step 4: Simplify right side
    359,679.30x = 98,544,058,798.53
  5. Step 5: Solve for x
    x = 98,544,058,798.53/359,679.30
  6. Step 6: Final answer
    x = 273,977.57

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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.