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Finding the Fourth Proportional to 359,719.77, 496,414.50 and 198,574.46

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Solution

The fourth proportional to 359,719.77, 496,414.50 and 198,574.46 is: 274,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,719.77 : 496,414.50 = 198,574.46 : x
  2. Step 2: Convert to fraction form
    359,719.77/496,414.50 = 198,574.46/x
  3. Step 3: Cross multiply
    359,719.77x = 496,414.50 × 198,574.46
  4. Step 4: Simplify right side
    359,719.77x = 98,575,241,273.67
  5. Step 5: Solve for x
    x = 98,575,241,273.67/359,719.77
  6. Step 6: Final answer
    x = 274,033.43

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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.