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Finding the Fourth Proportional to 564,470.56, 846,853.38 and 327,585.52

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Solution

The fourth proportional to 564,470.56, 846,853.38 and 327,585.52 is: 491,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,470.56 : 846,853.38 = 327,585.52 : x
  2. Step 2: Convert to fraction form
    564,470.56/846,853.38 = 327,585.52/x
  3. Step 3: Cross multiply
    564,470.56x = 846,853.38 × 327,585.52
  4. Step 4: Simplify right side
    564,470.56x = 277,416,904,851.06
  5. Step 5: Solve for x
    x = 277,416,904,851.06/564,470.56
  6. Step 6: Final answer
    x = 491,463.90

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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.