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Finding the Fourth Proportional to 408,647.34, 563,919.12 and 224,868.73

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Solution

The fourth proportional to 408,647.34, 563,919.12 and 224,868.73 is: 310,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,647.34 : 563,919.12 = 224,868.73 : x
  2. Step 2: Convert to fraction form
    408,647.34/563,919.12 = 224,868.73/x
  3. Step 3: Cross multiply
    408,647.34x = 563,919.12 × 224,868.73
  4. Step 4: Simplify right side
    408,647.34x = 126,807,776,337.12
  5. Step 5: Solve for x
    x = 126,807,776,337.12/408,647.34
  6. Step 6: Final answer
    x = 310,311.03

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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.