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Finding the Fourth Proportional to 417,914.50, 576,722.02 and 239,066.50

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Solution

The fourth proportional to 417,914.50, 576,722.02 and 239,066.50 is: 329,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,914.50 : 576,722.02 = 239,066.50 : x
  2. Step 2: Convert to fraction form
    417,914.50/576,722.02 = 239,066.50/x
  3. Step 3: Cross multiply
    417,914.50x = 576,722.02 × 239,066.50
  4. Step 4: Simplify right side
    417,914.50x = 137,874,914,794.33
  5. Step 5: Solve for x
    x = 137,874,914,794.33/417,914.50
  6. Step 6: Final answer
    x = 329,911.78

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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.