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Finding the Fourth Proportional to 359,679.46, 496,357.69 and 198,534.55

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Solution

The fourth proportional to 359,679.46, 496,357.69 and 198,534.55 is: 273,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,679.46 : 496,357.69 = 198,534.55 : x
  2. Step 2: Convert to fraction form
    359,679.46/496,357.69 = 198,534.55/x
  3. Step 3: Cross multiply
    359,679.46x = 496,357.69 × 198,534.55
  4. Step 4: Simplify right side
    359,679.46x = 98,544,150,871.41
  5. Step 5: Solve for x
    x = 98,544,150,871.41/359,679.46
  6. Step 6: Final answer
    x = 273,977.70

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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.