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Finding the Fourth Proportional to 564,471.56, 846,854.88 and 327,586.52

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Solution

The fourth proportional to 564,471.56, 846,854.88 and 327,586.52 is: 491,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,471.56 : 846,854.88 = 327,586.52 : x
  2. Step 2: Convert to fraction form
    564,471.56/846,854.88 = 327,586.52/x
  3. Step 3: Cross multiply
    564,471.56x = 846,854.88 × 327,586.52
  4. Step 4: Simplify right side
    564,471.56x = 277,418,243,084.22
  5. Step 5: Solve for x
    x = 277,418,243,084.22/564,471.56
  6. Step 6: Final answer
    x = 491,465.40

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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.