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Finding the Fourth Proportional to 462,868.48, 694,314.24 and 130,432

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Solution

The fourth proportional to 462,868.48, 694,314.24 and 130,432 is: 195,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,868.48 : 694,314.24 = 130,432 : x
  2. Step 2: Convert to fraction form
    462,868.48/694,314.24 = 130,432/x
  3. Step 3: Cross multiply
    462,868.48x = 694,314.24 × 130,432
  4. Step 4: Simplify right side
    462,868.48x = 90,560,794,951.68
  5. Step 5: Solve for x
    x = 90,560,794,951.68/462,868.48
  6. Step 6: Final answer
    x = 195,651.25

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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.