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Finding the Fourth Proportional to 391,649, 540,478.92 and 212,801

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Solution

The fourth proportional to 391,649, 540,478.92 and 212,801 is: 293,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,649 : 540,478.92 = 212,801 : x
  2. Step 2: Convert to fraction form
    391,649/540,478.92 = 212,801/x
  3. Step 3: Cross multiply
    391,649x = 540,478.92 × 212,801
  4. Step 4: Simplify right side
    391,649x = 115,014,454,654.92
  5. Step 5: Solve for x
    x = 115,014,454,654.92/391,649
  6. Step 6: Final answer
    x = 293,667.17

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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.