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Finding the Fourth Proportional to 436,099.57, 654,372.99 and 180,122.15

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Solution

The fourth proportional to 436,099.57, 654,372.99 and 180,122.15 is: 270,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,099.57 : 654,372.99 = 180,122.15 : x
  2. Step 2: Convert to fraction form
    436,099.57/654,372.99 = 180,122.15/x
  3. Step 3: Cross multiply
    436,099.57x = 654,372.99 × 180,122.15
  4. Step 4: Simplify right side
    436,099.57x = 117,867,071,496.66
  5. Step 5: Solve for x
    x = 117,867,071,496.66/436,099.57
  6. Step 6: Final answer
    x = 270,275.60

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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.