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Finding the Fourth Proportional to 416,827.20, 625,240.80 and 195,643.20

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Solution

The fourth proportional to 416,827.20, 625,240.80 and 195,643.20 is: 293,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,827.20 : 625,240.80 = 195,643.20 : x
  2. Step 2: Convert to fraction form
    416,827.20/625,240.80 = 195,643.20/x
  3. Step 3: Cross multiply
    416,827.20x = 625,240.80 × 195,643.20
  4. Step 4: Simplify right side
    416,827.20x = 122,324,110,882.56
  5. Step 5: Solve for x
    x = 122,324,110,882.56/416,827.20
  6. Step 6: Final answer
    x = 293,464.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.