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Finding the Fourth Proportional to 488,909.80, 733,947.90 and 275,847.40

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Solution

The fourth proportional to 488,909.80, 733,947.90 and 275,847.40 is: 414,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,909.80 : 733,947.90 = 275,847.40 : x
  2. Step 2: Convert to fraction form
    488,909.80/733,947.90 = 275,847.40/x
  3. Step 3: Cross multiply
    488,909.80x = 733,947.90 × 275,847.40
  4. Step 4: Simplify right side
    488,909.80x = 202,457,619,950.46
  5. Step 5: Solve for x
    x = 202,457,619,950.46/488,909.80
  6. Step 6: Final answer
    x = 414,100.15

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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.