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Finding the Fourth Proportional to 462,373.44, 693,584.16 and 146,855.04

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Solution

The fourth proportional to 462,373.44, 693,584.16 and 146,855.04 is: 220,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,373.44 : 693,584.16 = 146,855.04 : x
  2. Step 2: Convert to fraction form
    462,373.44/693,584.16 = 146,855.04/x
  3. Step 3: Cross multiply
    462,373.44x = 693,584.16 × 146,855.04
  4. Step 4: Simplify right side
    462,373.44x = 101,856,329,560.17
  5. Step 5: Solve for x
    x = 101,856,329,560.17/462,373.44
  6. Step 6: Final answer
    x = 220,290.18

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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.