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Finding the Fourth Proportional to 359,375.30, 495,941.37 and 198,237.14

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Solution

The fourth proportional to 359,375.30, 495,941.37 and 198,237.14 is: 273,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,375.30 : 495,941.37 = 198,237.14 : x
  2. Step 2: Convert to fraction form
    359,375.30/495,941.37 = 198,237.14/x
  3. Step 3: Cross multiply
    359,375.30x = 495,941.37 × 198,237.14
  4. Step 4: Simplify right side
    359,375.30x = 98,313,998,796.48
  5. Step 5: Solve for x
    x = 98,313,998,796.48/359,375.30
  6. Step 6: Final answer
    x = 273,569.16

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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.