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Finding the Fourth Proportional to 420,149.68, 579,814.38 and 229,169.92

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Solution

The fourth proportional to 420,149.68, 579,814.38 and 229,169.92 is: 316,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,149.68 : 579,814.38 = 229,169.92 : x
  2. Step 2: Convert to fraction form
    420,149.68/579,814.38 = 229,169.92/x
  3. Step 3: Cross multiply
    420,149.68x = 579,814.38 × 229,169.92
  4. Step 4: Simplify right side
    420,149.68x = 132,876,015,079.45
  5. Step 5: Solve for x
    x = 132,876,015,079.45/420,149.68
  6. Step 6: Final answer
    x = 316,258.76

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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.