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Finding the Fourth Proportional to 491,300.60, 735,769.91 and 280,298.84

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Solution

The fourth proportional to 491,300.60, 735,769.91 and 280,298.84 is: 419,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,300.60 : 735,769.91 = 280,298.84 : x
  2. Step 2: Convert to fraction form
    491,300.60/735,769.91 = 280,298.84/x
  3. Step 3: Cross multiply
    491,300.60x = 735,769.91 × 280,298.84
  4. Step 4: Simplify right side
    491,300.60x = 206,235,449,301.80
  5. Step 5: Solve for x
    x = 206,235,449,301.80/491,300.60
  6. Step 6: Final answer
    x = 419,774.47

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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.