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Finding the Fourth Proportional to 543,205.89, 814,954.16 and 188,219.91

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Solution

The fourth proportional to 543,205.89, 814,954.16 and 188,219.91 is: 282,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,205.89 : 814,954.16 = 188,219.91 : x
  2. Step 2: Convert to fraction form
    543,205.89/814,954.16 = 188,219.91/x
  3. Step 3: Cross multiply
    543,205.89x = 814,954.16 × 188,219.91
  4. Step 4: Simplify right side
    543,205.89x = 153,390,599,236.27
  5. Step 5: Solve for x
    x = 153,390,599,236.27/543,205.89
  6. Step 6: Final answer
    x = 282,380.22

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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.