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Finding the Fourth Proportional to 309,853.80, 464,780.70 and 296,731.80

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Solution

The fourth proportional to 309,853.80, 464,780.70 and 296,731.80 is: 445,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,853.80 : 464,780.70 = 296,731.80 : x
  2. Step 2: Convert to fraction form
    309,853.80/464,780.70 = 296,731.80/x
  3. Step 3: Cross multiply
    309,853.80x = 464,780.70 × 296,731.80
  4. Step 4: Simplify right side
    309,853.80x = 137,915,213,716.26
  5. Step 5: Solve for x
    x = 137,915,213,716.26/309,853.80
  6. Step 6: Final answer
    x = 445,097.70

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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.