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Finding the Fourth Proportional to 274,467.15, 411,701.19 and 180,292.20

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Solution

The fourth proportional to 274,467.15, 411,701.19 and 180,292.20 is: 270,438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,467.15 : 411,701.19 = 180,292.20 : x
  2. Step 2: Convert to fraction form
    274,467.15/411,701.19 = 180,292.20/x
  3. Step 3: Cross multiply
    274,467.15x = 411,701.19 × 180,292.20
  4. Step 4: Simplify right side
    274,467.15x = 74,226,513,287.72
  5. Step 5: Solve for x
    x = 74,226,513,287.72/274,467.15
  6. Step 6: Final answer
    x = 270,438.61

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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.