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Finding the Fourth Proportional to 490,213.20, 735,319.80 and 279,872.40

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Solution

The fourth proportional to 490,213.20, 735,319.80 and 279,872.40 is: 419,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,213.20 : 735,319.80 = 279,872.40 : x
  2. Step 2: Convert to fraction form
    490,213.20/735,319.80 = 279,872.40/x
  3. Step 3: Cross multiply
    490,213.20x = 735,319.80 × 279,872.40
  4. Step 4: Simplify right side
    490,213.20x = 205,795,717,193.52
  5. Step 5: Solve for x
    x = 205,795,717,193.52/490,213.20
  6. Step 6: Final answer
    x = 419,808.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.