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Finding the Fourth Proportional to 299,822.64, 448,690.68 and 185,917.20

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Solution

The fourth proportional to 299,822.64, 448,690.68 and 185,917.20 is: 278,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,822.64 : 448,690.68 = 185,917.20 : x
  2. Step 2: Convert to fraction form
    299,822.64/448,690.68 = 185,917.20/x
  3. Step 3: Cross multiply
    299,822.64x = 448,690.68 × 185,917.20
  4. Step 4: Simplify right side
    299,822.64x = 83,419,314,891.70
  5. Step 5: Solve for x
    x = 83,419,314,891.70/299,822.64
  6. Step 6: Final answer
    x = 278,228.87

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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.