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Finding the Fourth Proportional to 442,523.80, 610,525.38 and 261,144.97

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Solution

The fourth proportional to 442,523.80, 610,525.38 and 261,144.97 is: 360,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,523.80 : 610,525.38 = 261,144.97 : x
  2. Step 2: Convert to fraction form
    442,523.80/610,525.38 = 261,144.97/x
  3. Step 3: Cross multiply
    442,523.80x = 610,525.38 × 261,144.97
  4. Step 4: Simplify right side
    442,523.80x = 159,435,632,044.34
  5. Step 5: Solve for x
    x = 159,435,632,044.34/442,523.80
  6. Step 6: Final answer
    x = 360,287.13

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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.