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Finding the Fourth Proportional to 526,231.98, 726,200.10 and 284,514.48

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Solution

The fourth proportional to 526,231.98, 726,200.10 and 284,514.48 is: 392,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,231.98 : 726,200.10 = 284,514.48 : x
  2. Step 2: Convert to fraction form
    526,231.98/726,200.10 = 284,514.48/x
  3. Step 3: Cross multiply
    526,231.98x = 726,200.10 × 284,514.48
  4. Step 4: Simplify right side
    526,231.98x = 206,614,443,827.45
  5. Step 5: Solve for x
    x = 206,614,443,827.45/526,231.98
  6. Step 6: Final answer
    x = 392,629.96

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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.