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Finding the Fourth Proportional to 543,796.36, 814,856.19 and 291,110.38

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Solution

The fourth proportional to 543,796.36, 814,856.19 and 291,110.38 is: 436,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,796.36 : 814,856.19 = 291,110.38 : x
  2. Step 2: Convert to fraction form
    543,796.36/814,856.19 = 291,110.38/x
  3. Step 3: Cross multiply
    543,796.36x = 814,856.19 × 291,110.38
  4. Step 4: Simplify right side
    543,796.36x = 237,213,095,116.25
  5. Step 5: Solve for x
    x = 237,213,095,116.25/543,796.36
  6. Step 6: Final answer
    x = 436,216.78

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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.