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Finding the Fourth Proportional to 462,961.28, 694,497.48 and 163,380

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Solution

The fourth proportional to 462,961.28, 694,497.48 and 163,380 is: 245,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,961.28 : 694,497.48 = 163,380 : x
  2. Step 2: Convert to fraction form
    462,961.28/694,497.48 = 163,380/x
  3. Step 3: Cross multiply
    462,961.28x = 694,497.48 × 163,380
  4. Step 4: Simplify right side
    462,961.28x = 113,466,998,282.40
  5. Step 5: Solve for x
    x = 113,466,998,282.40/462,961.28
  6. Step 6: Final answer
    x = 245,089.61

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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.