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Finding the Fourth Proportional to 543,002.24, 814,620.36 and 163,891.28

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Solution

The fourth proportional to 543,002.24, 814,620.36 and 163,891.28 is: 245,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,002.24 : 814,620.36 = 163,891.28 : x
  2. Step 2: Convert to fraction form
    543,002.24/814,620.36 = 163,891.28/x
  3. Step 3: Cross multiply
    543,002.24x = 814,620.36 × 163,891.28
  4. Step 4: Simplify right side
    543,002.24x = 133,509,173,514.46
  5. Step 5: Solve for x
    x = 133,509,173,514.46/543,002.24
  6. Step 6: Final answer
    x = 245,872.23

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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.