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Finding the Fourth Proportional to 309,716.36, 464,463.06 and 107,257.64

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Solution

The fourth proportional to 309,716.36, 464,463.06 and 107,257.64 is: 160,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,716.36 : 464,463.06 = 107,257.64 : x
  2. Step 2: Convert to fraction form
    309,716.36/464,463.06 = 107,257.64/x
  3. Step 3: Cross multiply
    309,716.36x = 464,463.06 × 107,257.64
  4. Step 4: Simplify right side
    309,716.36x = 49,817,211,682.78
  5. Step 5: Solve for x
    x = 49,817,211,682.78/309,716.36
  6. Step 6: Final answer
    x = 160,847.85

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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.