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Finding the Fourth Proportional to 414,613.40, 572,115.57 and 261,593.87

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Solution

The fourth proportional to 414,613.40, 572,115.57 and 261,593.87 is: 360,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,613.40 : 572,115.57 = 261,593.87 : x
  2. Step 2: Convert to fraction form
    414,613.40/572,115.57 = 261,593.87/x
  3. Step 3: Cross multiply
    414,613.40x = 572,115.57 × 261,593.87
  4. Step 4: Simplify right side
    414,613.40x = 149,661,926,043.56
  5. Step 5: Solve for x
    x = 149,661,926,043.56/414,613.40
  6. Step 6: Final answer
    x = 360,967.41

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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.