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Finding the Fourth Proportional to 359,408.96, 495,976.44 and 198,264.14

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Solution

The fourth proportional to 359,408.96, 495,976.44 and 198,264.14 is: 273,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,408.96 : 495,976.44 = 198,264.14 : x
  2. Step 2: Convert to fraction form
    359,408.96/495,976.44 = 198,264.14/x
  3. Step 3: Cross multiply
    359,408.96x = 495,976.44 × 198,264.14
  4. Step 4: Simplify right side
    359,408.96x = 98,334,342,336.86
  5. Step 5: Solve for x
    x = 98,334,342,336.86/359,408.96
  6. Step 6: Final answer
    x = 273,600.14

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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.