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Finding the Fourth Proportional to 318,921.80, 478,382.70 and 185,952.20

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Solution

The fourth proportional to 318,921.80, 478,382.70 and 185,952.20 is: 278,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,921.80 : 478,382.70 = 185,952.20 : x
  2. Step 2: Convert to fraction form
    318,921.80/478,382.70 = 185,952.20/x
  3. Step 3: Cross multiply
    318,921.80x = 478,382.70 × 185,952.20
  4. Step 4: Simplify right side
    318,921.80x = 88,956,315,506.94
  5. Step 5: Solve for x
    x = 88,956,315,506.94/318,921.80
  6. Step 6: Final answer
    x = 278,928.30

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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.