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Finding the Fourth Proportional to 533,648.20, 800,925.90 and 218,331.40

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Solution

The fourth proportional to 533,648.20, 800,925.90 and 218,331.40 is: 327,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,648.20 : 800,925.90 = 218,331.40 : x
  2. Step 2: Convert to fraction form
    533,648.20/800,925.90 = 218,331.40/x
  3. Step 3: Cross multiply
    533,648.20x = 800,925.90 × 218,331.40
  4. Step 4: Simplify right side
    533,648.20x = 174,867,273,043.26
  5. Step 5: Solve for x
    x = 174,867,273,043.26/533,648.20
  6. Step 6: Final answer
    x = 327,682.68

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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.