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Finding the Fourth Proportional to 408,078.06, 563,134.25 and 224,317.25

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Solution

The fourth proportional to 408,078.06, 563,134.25 and 224,317.25 is: 309,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,078.06 : 563,134.25 = 224,317.25 : x
  2. Step 2: Convert to fraction form
    408,078.06/563,134.25 = 224,317.25/x
  3. Step 3: Cross multiply
    408,078.06x = 563,134.25 × 224,317.25
  4. Step 4: Simplify right side
    408,078.06x = 126,320,722,403.56
  5. Step 5: Solve for x
    x = 126,320,722,403.56/408,078.06
  6. Step 6: Final answer
    x = 309,550.39

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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.