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Finding the Fourth Proportional to 564,252.57, 846,515.52 and 324,519.84

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Solution

The fourth proportional to 564,252.57, 846,515.52 and 324,519.84 is: 486,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,252.57 : 846,515.52 = 324,519.84 : x
  2. Step 2: Convert to fraction form
    564,252.57/846,515.52 = 324,519.84/x
  3. Step 3: Cross multiply
    564,252.57x = 846,515.52 × 324,519.84
  4. Step 4: Simplify right side
    564,252.57x = 274,711,081,107.92
  5. Step 5: Solve for x
    x = 274,711,081,107.92/564,252.57
  6. Step 6: Final answer
    x = 486,858.36

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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.