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Finding the Fourth Proportional to 414,546.66, 572,120.82 and 233,302.68

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Solution

The fourth proportional to 414,546.66, 572,120.82 and 233,302.68 is: 321,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,546.66 : 572,120.82 = 233,302.68 : x
  2. Step 2: Convert to fraction form
    414,546.66/572,120.82 = 233,302.68/x
  3. Step 3: Cross multiply
    414,546.66x = 572,120.82 × 233,302.68
  4. Step 4: Simplify right side
    414,546.66x = 133,477,320,589.80
  5. Step 5: Solve for x
    x = 133,477,320,589.80/414,546.66
  6. Step 6: Final answer
    x = 321,983.83

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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.