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Finding the Fourth Proportional to 474,797.64, 712,371.42 and 250,149

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Solution

The fourth proportional to 474,797.64, 712,371.42 and 250,149 is: 375,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,797.64 : 712,371.42 = 250,149 : x
  2. Step 2: Convert to fraction form
    474,797.64/712,371.42 = 250,149/x
  3. Step 3: Cross multiply
    474,797.64x = 712,371.42 × 250,149
  4. Step 4: Simplify right side
    474,797.64x = 178,198,998,341.58
  5. Step 5: Solve for x
    x = 178,198,998,341.58/474,797.64
  6. Step 6: Final answer
    x = 375,315.68

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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.