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Finding the Fourth Proportional to 359,231.46, 495,742.78 and 198,092.28

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Solution

The fourth proportional to 359,231.46, 495,742.78 and 198,092.28 is: 273,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,231.46 : 495,742.78 = 198,092.28 : x
  2. Step 2: Convert to fraction form
    359,231.46/495,742.78 = 198,092.28/x
  3. Step 3: Cross multiply
    359,231.46x = 495,742.78 × 198,092.28
  4. Step 4: Simplify right side
    359,231.46x = 98,202,817,583.74
  5. Step 5: Solve for x
    x = 98,202,817,583.74/359,231.46
  6. Step 6: Final answer
    x = 273,369.20

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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.