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Finding the Fourth Proportional to 563,994.40, 846,069.36 and 327,448.48

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Solution

The fourth proportional to 563,994.40, 846,069.36 and 327,448.48 is: 491,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,994.40 : 846,069.36 = 327,448.48 : x
  2. Step 2: Convert to fraction form
    563,994.40/846,069.36 = 327,448.48/x
  3. Step 3: Cross multiply
    563,994.40x = 846,069.36 × 327,448.48
  4. Step 4: Simplify right side
    563,994.40x = 277,044,125,906.57
  5. Step 5: Solve for x
    x = 277,044,125,906.57/563,994.40
  6. Step 6: Final answer
    x = 491,217.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.