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Finding the Fourth Proportional to 543,310.32, 814,780.90 and 188,241.46

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Solution

The fourth proportional to 543,310.32, 814,780.90 and 188,241.46 is: 282,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,310.32 : 814,780.90 = 188,241.46 : x
  2. Step 2: Convert to fraction form
    543,310.32/814,780.90 = 188,241.46/x
  3. Step 3: Cross multiply
    543,310.32x = 814,780.90 × 188,241.46
  4. Step 4: Simplify right side
    543,310.32x = 153,375,546,196.11
  5. Step 5: Solve for x
    x = 153,375,546,196.11/543,310.32
  6. Step 6: Final answer
    x = 282,298.24

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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.