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Finding the Fourth Proportional to 462,361.44, 693,566.16 and 146,843.04

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Solution

The fourth proportional to 462,361.44, 693,566.16 and 146,843.04 is: 220,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,361.44 : 693,566.16 = 146,843.04 : x
  2. Step 2: Convert to fraction form
    462,361.44/693,566.16 = 146,843.04/x
  3. Step 3: Cross multiply
    462,361.44x = 693,566.16 × 146,843.04
  4. Step 4: Simplify right side
    462,361.44x = 101,845,363,375.53
  5. Step 5: Solve for x
    x = 101,845,363,375.53/462,361.44
  6. Step 6: Final answer
    x = 220,272.18

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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.