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Finding the Fourth Proportional to 279,764.64, 419,771.00 and 146,613.24

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Solution

The fourth proportional to 279,764.64, 419,771.00 and 146,613.24 is: 219,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,764.64 : 419,771.00 = 146,613.24 : x
  2. Step 2: Convert to fraction form
    279,764.64/419,771.00 = 146,613.24/x
  3. Step 3: Cross multiply
    279,764.64x = 419,771.00 × 146,613.24
  4. Step 4: Simplify right side
    279,764.64x = 61,543,986,734.57
  5. Step 5: Solve for x
    x = 61,543,986,734.57/279,764.64
  6. Step 6: Final answer
    x = 219,984.87

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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.