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Finding the Fourth Proportional to 399,083.85, 550,748.59 and 226,997.38

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Solution

The fourth proportional to 399,083.85, 550,748.59 and 226,997.38 is: 313,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,083.85 : 550,748.59 = 226,997.38 : x
  2. Step 2: Convert to fraction form
    399,083.85/550,748.59 = 226,997.38/x
  3. Step 3: Cross multiply
    399,083.85x = 550,748.59 × 226,997.38
  4. Step 4: Simplify right side
    399,083.85x = 125,018,485,024.33
  5. Step 5: Solve for x
    x = 125,018,485,024.33/399,083.85
  6. Step 6: Final answer
    x = 313,263.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.