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Finding the Fourth Proportional to 563,568.40, 846,103.20 and 327,080.80

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Solution

The fourth proportional to 563,568.40, 846,103.20 and 327,080.80 is: 491,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,568.40 : 846,103.20 = 327,080.80 : x
  2. Step 2: Convert to fraction form
    563,568.40/846,103.20 = 327,080.80/x
  3. Step 3: Cross multiply
    563,568.40x = 846,103.20 × 327,080.80
  4. Step 4: Simplify right side
    563,568.40x = 276,744,111,538.56
  5. Step 5: Solve for x
    x = 276,744,111,538.56/563,568.40
  6. Step 6: Final answer
    x = 491,056.83

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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.