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Finding the Fourth Proportional to 397,408.76, 548,434.38 and 216,131.96

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Solution

The fourth proportional to 397,408.76, 548,434.38 and 216,131.96 is: 298,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,408.76 : 548,434.38 = 216,131.96 : x
  2. Step 2: Convert to fraction form
    397,408.76/548,434.38 = 216,131.96/x
  3. Step 3: Cross multiply
    397,408.76x = 548,434.38 × 216,131.96
  4. Step 4: Simplify right side
    397,408.76x = 118,534,197,480.79
  5. Step 5: Solve for x
    x = 118,534,197,480.79/397,408.76
  6. Step 6: Final answer
    x = 298,267.70

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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.