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Finding the Fourth Proportional to 301,366.20, 415,855.07 and 180,504.38

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Solution

The fourth proportional to 301,366.20, 415,855.07 and 180,504.38 is: 249,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,366.20 : 415,855.07 = 180,504.38 : x
  2. Step 2: Convert to fraction form
    301,366.20/415,855.07 = 180,504.38/x
  3. Step 3: Cross multiply
    301,366.20x = 415,855.07 × 180,504.38
  4. Step 4: Simplify right side
    301,366.20x = 75,063,659,049.67
  5. Step 5: Solve for x
    x = 75,063,659,049.67/301,366.20
  6. Step 6: Final answer
    x = 249,077.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.