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Finding the Fourth Proportional to 704,096, 971,713.92 and 386,205.44

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Solution

The fourth proportional to 704,096, 971,713.92 and 386,205.44 is: 532,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,096 : 971,713.92 = 386,205.44 : x
  2. Step 2: Convert to fraction form
    704,096/971,713.92 = 386,205.44/x
  3. Step 3: Cross multiply
    704,096x = 971,713.92 × 386,205.44
  4. Step 4: Simplify right side
    704,096x = 375,281,202,027.73
  5. Step 5: Solve for x
    x = 375,281,202,027.73/704,096
  6. Step 6: Final answer
    x = 532,997.21

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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.