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Finding the Fourth Proportional to 309,619.80, 464,429.70 and 270,253.80

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Solution

The fourth proportional to 309,619.80, 464,429.70 and 270,253.80 is: 405,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,619.80 : 464,429.70 = 270,253.80 : x
  2. Step 2: Convert to fraction form
    309,619.80/464,429.70 = 270,253.80/x
  3. Step 3: Cross multiply
    309,619.80x = 464,429.70 × 270,253.80
  4. Step 4: Simplify right side
    309,619.80x = 125,513,891,257.86
  5. Step 5: Solve for x
    x = 125,513,891,257.86/309,619.80
  6. Step 6: Final answer
    x = 405,380.70

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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.