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Finding the Fourth Proportional to 313,141.88, 469,797.57 and 223,298.10

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Solution

The fourth proportional to 313,141.88, 469,797.57 and 223,298.10 is: 335,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,141.88 : 469,797.57 = 223,298.10 : x
  2. Step 2: Convert to fraction form
    313,141.88/469,797.57 = 223,298.10/x
  3. Step 3: Cross multiply
    313,141.88x = 469,797.57 × 223,298.10
  4. Step 4: Simplify right side
    313,141.88x = 104,904,904,765.62
  5. Step 5: Solve for x
    x = 104,904,904,765.62/313,141.88
  6. Step 6: Final answer
    x = 335,007.58

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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.