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Finding the Fourth Proportional to 400,122.53, 552,161.35 and 218,833.91

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Solution

The fourth proportional to 400,122.53, 552,161.35 and 218,833.91 is: 301,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,122.53 : 552,161.35 = 218,833.91 : x
  2. Step 2: Convert to fraction form
    400,122.53/552,161.35 = 218,833.91/x
  3. Step 3: Cross multiply
    400,122.53x = 552,161.35 × 218,833.91
  4. Step 4: Simplify right side
    400,122.53x = 120,831,627,171.38
  5. Step 5: Solve for x
    x = 120,831,627,171.38/400,122.53
  6. Step 6: Final answer
    x = 301,986.56

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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.