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Finding the Fourth Proportional to 284,609.83, 392,816.39 and 182,763.97

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Solution

The fourth proportional to 284,609.83, 392,816.39 and 182,763.97 is: 252,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,609.83 : 392,816.39 = 182,763.97 : x
  2. Step 2: Convert to fraction form
    284,609.83/392,816.39 = 182,763.97/x
  3. Step 3: Cross multiply
    284,609.83x = 392,816.39 × 182,763.97
  4. Step 4: Simplify right side
    284,609.83x = 71,792,682,126.40
  5. Step 5: Solve for x
    x = 71,792,682,126.40/284,609.83
  6. Step 6: Final answer
    x = 252,249.48

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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.