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Finding the Fourth Proportional to 382,862.14, 574,329.36 and 112,991.30

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Solution

The fourth proportional to 382,862.14, 574,329.36 and 112,991.30 is: 169,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,862.14 : 574,329.36 = 112,991.30 : x
  2. Step 2: Convert to fraction form
    382,862.14/574,329.36 = 112,991.30/x
  3. Step 3: Cross multiply
    382,862.14x = 574,329.36 × 112,991.30
  4. Step 4: Simplify right side
    382,862.14x = 64,894,220,449.61
  5. Step 5: Solve for x
    x = 64,894,220,449.61/382,862.14
  6. Step 6: Final answer
    x = 169,497.62

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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.