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Finding the Fourth Proportional to 397,114.32, 548,021.40 and 215,826.74

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Solution

The fourth proportional to 397,114.32, 548,021.40 and 215,826.74 is: 297,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,114.32 : 548,021.40 = 215,826.74 : x
  2. Step 2: Convert to fraction form
    397,114.32/548,021.40 = 215,826.74/x
  3. Step 3: Cross multiply
    397,114.32x = 548,021.40 × 215,826.74
  4. Step 4: Simplify right side
    397,114.32x = 118,277,672,212.24
  5. Step 5: Solve for x
    x = 118,277,672,212.24/397,114.32
  6. Step 6: Final answer
    x = 297,842.88

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