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Finding the Fourth Proportional to 306,352.10, 422,297.34 and 215,460.38

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Solution

The fourth proportional to 306,352.10, 422,297.34 and 215,460.38 is: 297,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,352.10 : 422,297.34 = 215,460.38 : x
  2. Step 2: Convert to fraction form
    306,352.10/422,297.34 = 215,460.38/x
  3. Step 3: Cross multiply
    306,352.10x = 422,297.34 × 215,460.38
  4. Step 4: Simplify right side
    306,352.10x = 90,988,345,349.39
  5. Step 5: Solve for x
    x = 90,988,345,349.39/306,352.10
  6. Step 6: Final answer
    x = 297,005.78

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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.