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Finding the Fourth Proportional to 447,167.20, 670,232.40 and 180,752.80

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Solution

The fourth proportional to 447,167.20, 670,232.40 and 180,752.80 is: 270,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,167.20 : 670,232.40 = 180,752.80 : x
  2. Step 2: Convert to fraction form
    447,167.20/670,232.40 = 180,752.80/x
  3. Step 3: Cross multiply
    447,167.20x = 670,232.40 × 180,752.80
  4. Step 4: Simplify right side
    447,167.20x = 121,146,382,950.72
  5. Step 5: Solve for x
    x = 121,146,382,950.72/447,167.20
  6. Step 6: Final answer
    x = 270,919.65

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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.