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Finding the Fourth Proportional to 309,574.73, 464,393.88 and 107,170.52

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Solution

The fourth proportional to 309,574.73, 464,393.88 and 107,170.52 is: 160,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,574.73 : 464,393.88 = 107,170.52 : x
  2. Step 2: Convert to fraction form
    309,574.73/464,393.88 = 107,170.52/x
  3. Step 3: Cross multiply
    309,574.73x = 464,393.88 × 107,170.52
  4. Step 4: Simplify right side
    309,574.73x = 49,769,331,282.45
  5. Step 5: Solve for x
    x = 49,769,331,282.45/309,574.73
  6. Step 6: Final answer
    x = 160,766.78

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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.