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Finding the Fourth Proportional to 403,593.97, 605,308.38 and 150,827.80

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Solution

The fourth proportional to 403,593.97, 605,308.38 and 150,827.80 is: 226,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,593.97 : 605,308.38 = 150,827.80 : x
  2. Step 2: Convert to fraction form
    403,593.97/605,308.38 = 150,827.80/x
  3. Step 3: Cross multiply
    403,593.97x = 605,308.38 × 150,827.80
  4. Step 4: Simplify right side
    403,593.97x = 91,297,331,276.96
  5. Step 5: Solve for x
    x = 91,297,331,276.96/403,593.97
  6. Step 6: Final answer
    x = 226,210.84

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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.