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Finding the Fourth Proportional to 403,227.20, 604,257.60 and 178,403.60

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Solution

The fourth proportional to 403,227.20, 604,257.60 and 178,403.60 is: 267,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,227.20 : 604,257.60 = 178,403.60 : x
  2. Step 2: Convert to fraction form
    403,227.20/604,257.60 = 178,403.60/x
  3. Step 3: Cross multiply
    403,227.20x = 604,257.60 × 178,403.60
  4. Step 4: Simplify right side
    403,227.20x = 107,801,731,167.36
  5. Step 5: Solve for x
    x = 107,801,731,167.36/403,227.20
  6. Step 6: Final answer
    x = 267,347.37

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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.