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Finding the Fourth Proportional to 275,132.75, 412,491.16 and 180,386.77

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Solution

The fourth proportional to 275,132.75, 412,491.16 and 180,386.77 is: 270,443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,132.75 : 412,491.16 = 180,386.77 : x
  2. Step 2: Convert to fraction form
    275,132.75/412,491.16 = 180,386.77/x
  3. Step 3: Cross multiply
    275,132.75x = 412,491.16 × 180,386.77
  4. Step 4: Simplify right side
    275,132.75x = 74,407,948,626.42
  5. Step 5: Solve for x
    x = 74,407,948,626.42/275,132.75
  6. Step 6: Final answer
    x = 270,443.81

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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.