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Finding the Fourth Proportional to 274,514.40, 411,080.40 and 180,511.20

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Solution

The fourth proportional to 274,514.40, 411,080.40 and 180,511.20 is: 270,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,514.40 : 411,080.40 = 180,511.20 : x
  2. Step 2: Convert to fraction form
    274,514.40/411,080.40 = 180,511.20/x
  3. Step 3: Cross multiply
    274,514.40x = 411,080.40 × 180,511.20
  4. Step 4: Simplify right side
    274,514.40x = 74,204,616,300.48
  5. Step 5: Solve for x
    x = 74,204,616,300.48/274,514.40
  6. Step 6: Final answer
    x = 270,312.29

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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.