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Finding the Fourth Proportional to 306,066.96, 422,324.15 and 176,957.42

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Solution

The fourth proportional to 306,066.96, 422,324.15 and 176,957.42 is: 244,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,066.96 : 422,324.15 = 176,957.42 : x
  2. Step 2: Convert to fraction form
    306,066.96/422,324.15 = 176,957.42/x
  3. Step 3: Cross multiply
    306,066.96x = 422,324.15 × 176,957.42
  4. Step 4: Simplify right side
    306,066.96x = 74,733,388,991.29
  5. Step 5: Solve for x
    x = 74,733,388,991.29/306,066.96
  6. Step 6: Final answer
    x = 244,173.33

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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.