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Finding the Fourth Proportional to 359,457.40, 496,046.50 and 198,319.24

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Solution

The fourth proportional to 359,457.40, 496,046.50 and 198,319.24 is: 273,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,457.40 : 496,046.50 = 198,319.24 : x
  2. Step 2: Convert to fraction form
    359,457.40/496,046.50 = 198,319.24/x
  3. Step 3: Cross multiply
    359,457.40x = 496,046.50 × 198,319.24
  4. Step 4: Simplify right side
    359,457.40x = 98,375,564,884.66
  5. Step 5: Solve for x
    x = 98,375,564,884.66/359,457.40
  6. Step 6: Final answer
    x = 273,677.95

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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.