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Finding the Fourth Proportional to 408,585.75, 563,617.94 and 245,200.47

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Solution

The fourth proportional to 408,585.75, 563,617.94 and 245,200.47 is: 338,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,585.75 : 563,617.94 = 245,200.47 : x
  2. Step 2: Convert to fraction form
    408,585.75/563,617.94 = 245,200.47/x
  3. Step 3: Cross multiply
    408,585.75x = 563,617.94 × 245,200.47
  4. Step 4: Simplify right side
    408,585.75x = 138,199,383,788.43
  5. Step 5: Solve for x
    x = 138,199,383,788.43/408,585.75
  6. Step 6: Final answer
    x = 338,238.38

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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.