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Finding the Fourth Proportional to 397,499.63, 548,549.48 and 227,832.17

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Solution

The fourth proportional to 397,499.63, 548,549.48 and 227,832.17 is: 314,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,499.63 : 548,549.48 = 227,832.17 : x
  2. Step 2: Convert to fraction form
    397,499.63/548,549.48 = 227,832.17/x
  3. Step 3: Cross multiply
    397,499.63x = 548,549.48 × 227,832.17
  4. Step 4: Simplify right side
    397,499.63x = 124,977,216,207.61
  5. Step 5: Solve for x
    x = 124,977,216,207.61/397,499.63
  6. Step 6: Final answer
    x = 314,408.39

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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.