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Finding the Fourth Proportional to 317,909.28, 476,933.04 and 96,310.56

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Solution

The fourth proportional to 317,909.28, 476,933.04 and 96,310.56 is: 144,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,909.28 : 476,933.04 = 96,310.56 : x
  2. Step 2: Convert to fraction form
    317,909.28/476,933.04 = 96,310.56/x
  3. Step 3: Cross multiply
    317,909.28x = 476,933.04 × 96,310.56
  4. Step 4: Simplify right side
    317,909.28x = 45,933,688,164.90
  5. Step 5: Solve for x
    x = 45,933,688,164.90/317,909.28
  6. Step 6: Final answer
    x = 144,486.78

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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.