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Finding the Fourth Proportional to 543,280.87, 814,422.39 and 188,046.46

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Solution

The fourth proportional to 543,280.87, 814,422.39 and 188,046.46 is: 281,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,280.87 : 814,422.39 = 188,046.46 : x
  2. Step 2: Convert to fraction form
    543,280.87/814,422.39 = 188,046.46/x
  3. Step 3: Cross multiply
    543,280.87x = 814,422.39 × 188,046.46
  4. Step 4: Simplify right side
    543,280.87x = 153,149,247,384.24
  5. Step 5: Solve for x
    x = 153,149,247,384.24/543,280.87
  6. Step 6: Final answer
    x = 281,897.00

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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.