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Finding the Fourth Proportional to 359,204.21, 495,724.28 and 198,059.03

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Solution

The fourth proportional to 359,204.21, 495,724.28 and 198,059.03 is: 273,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,204.21 : 495,724.28 = 198,059.03 : x
  2. Step 2: Convert to fraction form
    359,204.21/495,724.28 = 198,059.03/x
  3. Step 3: Cross multiply
    359,204.21x = 495,724.28 × 198,059.03
  4. Step 4: Simplify right side
    359,204.21x = 98,182,666,575.33
  5. Step 5: Solve for x
    x = 98,182,666,575.33/359,204.21
  6. Step 6: Final answer
    x = 273,333.85

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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.