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Finding the Fourth Proportional to 462,981.60, 694,510.80 and 147,429.60

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Solution

The fourth proportional to 462,981.60, 694,510.80 and 147,429.60 is: 221,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,981.60 : 694,510.80 = 147,429.60 : x
  2. Step 2: Convert to fraction form
    462,981.60/694,510.80 = 147,429.60/x
  3. Step 3: Cross multiply
    462,981.60x = 694,510.80 × 147,429.60
  4. Step 4: Simplify right side
    462,981.60x = 102,391,449,439.68
  5. Step 5: Solve for x
    x = 102,391,449,439.68/462,981.60
  6. Step 6: Final answer
    x = 221,156.63

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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.