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Finding the Fourth Proportional to 408,245.75, 563,398.35 and 226,960.71

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Solution

The fourth proportional to 408,245.75, 563,398.35 and 226,960.71 is: 313,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,245.75 : 563,398.35 = 226,960.71 : x
  2. Step 2: Convert to fraction form
    408,245.75/563,398.35 = 226,960.71/x
  3. Step 3: Cross multiply
    408,245.75x = 563,398.35 × 226,960.71
  4. Step 4: Simplify right side
    408,245.75x = 127,869,289,528.83
  5. Step 5: Solve for x
    x = 127,869,289,528.83/408,245.75
  6. Step 6: Final answer
    x = 313,216.46

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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.