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Finding the Fourth Proportional to 408,168.24, 563,546.88 and 365,013.60

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Solution

The fourth proportional to 408,168.24, 563,546.88 and 365,013.60 is: 503,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,168.24 : 563,546.88 = 365,013.60 : x
  2. Step 2: Convert to fraction form
    408,168.24/563,546.88 = 365,013.60/x
  3. Step 3: Cross multiply
    408,168.24x = 563,546.88 × 365,013.60
  4. Step 4: Simplify right side
    408,168.24x = 205,702,275,437.57
  5. Step 5: Solve for x
    x = 205,702,275,437.57/408,168.24
  6. Step 6: Final answer
    x = 503,964.43

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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.