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Finding the Fourth Proportional to 342,792.27, 472,938.75 and 199,521.90

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Solution

The fourth proportional to 342,792.27, 472,938.75 and 199,521.90 is: 275,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,792.27 : 472,938.75 = 199,521.90 : x
  2. Step 2: Convert to fraction form
    342,792.27/472,938.75 = 199,521.90/x
  3. Step 3: Cross multiply
    342,792.27x = 472,938.75 × 199,521.90
  4. Step 4: Simplify right side
    342,792.27x = 94,361,637,983.63
  5. Step 5: Solve for x
    x = 94,361,637,983.63/342,792.27
  6. Step 6: Final answer
    x = 275,273.53

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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.