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Finding the Fourth Proportional to 309,382.58, 464,007.04 and 109,709.48

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Solution

The fourth proportional to 309,382.58, 464,007.04 and 109,709.48 is: 164,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,382.58 : 464,007.04 = 109,709.48 : x
  2. Step 2: Convert to fraction form
    309,382.58/464,007.04 = 109,709.48/x
  3. Step 3: Cross multiply
    309,382.58x = 464,007.04 × 109,709.48
  4. Step 4: Simplify right side
    309,382.58x = 50,905,971,074.74
  5. Step 5: Solve for x
    x = 50,905,971,074.74/309,382.58
  6. Step 6: Final answer
    x = 164,540.52

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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.