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Finding the Fourth Proportional to 564,251.40, 846,441.30 and 204,591.60

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Solution

The fourth proportional to 564,251.40, 846,441.30 and 204,591.60 is: 306,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,251.40 : 846,441.30 = 204,591.60 : x
  2. Step 2: Convert to fraction form
    564,251.40/846,441.30 = 204,591.60/x
  3. Step 3: Cross multiply
    564,251.40x = 846,441.30 × 204,591.60
  4. Step 4: Simplify right side
    564,251.40x = 173,174,779,873.08
  5. Step 5: Solve for x
    x = 173,174,779,873.08/564,251.40
  6. Step 6: Final answer
    x = 306,910.68

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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.