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Finding the Fourth Proportional to 543,311.32, 814,782.40 and 188,242.44

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Solution

The fourth proportional to 543,311.32, 814,782.40 and 188,242.44 is: 282,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,311.32 : 814,782.40 = 188,242.44 : x
  2. Step 2: Convert to fraction form
    543,311.32/814,782.40 = 188,242.44/x
  3. Step 3: Cross multiply
    543,311.32x = 814,782.40 × 188,242.44
  4. Step 4: Simplify right side
    543,311.32x = 153,376,627,045.06
  5. Step 5: Solve for x
    x = 153,376,627,045.06/543,311.32
  6. Step 6: Final answer
    x = 282,299.71

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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.