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Finding the Fourth Proportional to 342,052.57, 472,032.24 and 206,092.25

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Solution

The fourth proportional to 342,052.57, 472,032.24 and 206,092.25 is: 284,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,052.57 : 472,032.24 = 206,092.25 : x
  2. Step 2: Convert to fraction form
    342,052.57/472,032.24 = 206,092.25/x
  3. Step 3: Cross multiply
    342,052.57x = 472,032.24 × 206,092.25
  4. Step 4: Simplify right side
    342,052.57x = 97,282,184,053.98
  5. Step 5: Solve for x
    x = 97,282,184,053.98/342,052.57
  6. Step 6: Final answer
    x = 284,407.12

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1.5x scale

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.