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Finding the Fourth Proportional to 564,069.60, 846,855.24 and 327,582

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Solution

The fourth proportional to 564,069.60, 846,855.24 and 327,582 is: 491,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,069.60 : 846,855.24 = 327,582 : x
  2. Step 2: Convert to fraction form
    564,069.60/846,855.24 = 327,582/x
  3. Step 3: Cross multiply
    564,069.60x = 846,855.24 × 327,582
  4. Step 4: Simplify right side
    564,069.60x = 277,414,533,229.68
  5. Step 5: Solve for x
    x = 277,414,533,229.68/564,069.60
  6. Step 6: Final answer
    x = 491,809.05

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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.