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Finding the Fourth Proportional to 414,343.64, 572,115.96 and 323,542.16

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Solution

The fourth proportional to 414,343.64, 572,115.96 and 323,542.16 is: 446,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,343.64 : 572,115.96 = 323,542.16 : x
  2. Step 2: Convert to fraction form
    414,343.64/572,115.96 = 323,542.16/x
  3. Step 3: Cross multiply
    414,343.64x = 572,115.96 × 323,542.16
  4. Step 4: Simplify right side
    414,343.64x = 185,103,633,468.87
  5. Step 5: Solve for x
    x = 185,103,633,468.87/414,343.64
  6. Step 6: Final answer
    x = 446,739.41

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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.