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Finding the Fourth Proportional to 342,401.90, 472,665.97 and 204,629.46

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Solution

The fourth proportional to 342,401.90, 472,665.97 and 204,629.46 is: 282,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,401.90 : 472,665.97 = 204,629.46 : x
  2. Step 2: Convert to fraction form
    342,401.90/472,665.97 = 204,629.46/x
  3. Step 3: Cross multiply
    342,401.90x = 472,665.97 × 204,629.46
  4. Step 4: Simplify right side
    342,401.90x = 96,721,382,201.48
  5. Step 5: Solve for x
    x = 96,721,382,201.48/342,401.90
  6. Step 6: Final answer
    x = 282,479.10

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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.