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Finding the Fourth Proportional to 342,217.97, 472,319.07 and 199,061

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Solution

The fourth proportional to 342,217.97, 472,319.07 and 199,061 is: 274,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,217.97 : 472,319.07 = 199,061 : x
  2. Step 2: Convert to fraction form
    342,217.97/472,319.07 = 199,061/x
  3. Step 3: Cross multiply
    342,217.97x = 472,319.07 × 199,061
  4. Step 4: Simplify right side
    342,217.97x = 94,020,306,393.27
  5. Step 5: Solve for x
    x = 94,020,306,393.27/342,217.97
  6. Step 6: Final answer
    x = 274,738.08

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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.