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Finding the Fourth Proportional to 564,473.56, 846,857.88 and 327,588.52

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Solution

The fourth proportional to 564,473.56, 846,857.88 and 327,588.52 is: 491,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,473.56 : 846,857.88 = 327,588.52 : x
  2. Step 2: Convert to fraction form
    564,473.56/846,857.88 = 327,588.52/x
  3. Step 3: Cross multiply
    564,473.56x = 846,857.88 × 327,588.52
  4. Step 4: Simplify right side
    564,473.56x = 277,420,919,559.54
  5. Step 5: Solve for x
    x = 277,420,919,559.54/564,473.56
  6. Step 6: Final answer
    x = 491,468.40

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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.