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Finding the Fourth Proportional to 416,356.80, 574,209.12 and 335,760.96

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Solution

The fourth proportional to 416,356.80, 574,209.12 and 335,760.96 is: 463,057.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,356.80 : 574,209.12 = 335,760.96 : x
  2. Step 2: Convert to fraction form
    416,356.80/574,209.12 = 335,760.96/x
  3. Step 3: Cross multiply
    416,356.80x = 574,209.12 × 335,760.96
  4. Step 4: Simplify right side
    416,356.80x = 192,797,005,371.96
  5. Step 5: Solve for x
    x = 192,797,005,371.96/416,356.80
  6. Step 6: Final answer
    x = 463,057.18

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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.