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Finding the Fourth Proportional to 543,308.69, 814,778.49 and 188,239.84

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Solution

The fourth proportional to 543,308.69, 814,778.49 and 188,239.84 is: 282,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,308.69 : 814,778.49 = 188,239.84 : x
  2. Step 2: Convert to fraction form
    543,308.69/814,778.49 = 188,239.84/x
  3. Step 3: Cross multiply
    543,308.69x = 814,778.49 × 188,239.84
  4. Step 4: Simplify right side
    543,308.69x = 153,373,772,593.04
  5. Step 5: Solve for x
    x = 153,373,772,593.04/543,308.69
  6. Step 6: Final answer
    x = 282,295.82

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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.