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Finding the Fourth Proportional to 401,265.05, 601,722.59 and 151,772.09

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Solution

The fourth proportional to 401,265.05, 601,722.59 and 151,772.09 is: 227,591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,265.05 : 601,722.59 = 151,772.09 : x
  2. Step 2: Convert to fraction form
    401,265.05/601,722.59 = 151,772.09/x
  3. Step 3: Cross multiply
    401,265.05x = 601,722.59 × 151,772.09
  4. Step 4: Simplify right side
    401,265.05x = 91,324,691,317.04
  5. Step 5: Solve for x
    x = 91,324,691,317.04/401,265.05
  6. Step 6: Final answer
    x = 227,591.94

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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.