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Finding the Fourth Proportional to 306,377.38, 422,794.72 and 170,408.40

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Solution

The fourth proportional to 306,377.38, 422,794.72 and 170,408.40 is: 235,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,377.38 : 422,794.72 = 170,408.40 : x
  2. Step 2: Convert to fraction form
    306,377.38/422,794.72 = 170,408.40/x
  3. Step 3: Cross multiply
    306,377.38x = 422,794.72 × 170,408.40
  4. Step 4: Simplify right side
    306,377.38x = 72,047,771,763.65
  5. Step 5: Solve for x
    x = 72,047,771,763.65/306,377.38
  6. Step 6: Final answer
    x = 235,160.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.