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Finding the Fourth Proportional to 403,393.60, 605,090.40 and 226,446.40

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Solution

The fourth proportional to 403,393.60, 605,090.40 and 226,446.40 is: 339,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,393.60 : 605,090.40 = 226,446.40 : x
  2. Step 2: Convert to fraction form
    403,393.60/605,090.40 = 226,446.40/x
  3. Step 3: Cross multiply
    403,393.60x = 605,090.40 × 226,446.40
  4. Step 4: Simplify right side
    403,393.60x = 137,020,542,754.56
  5. Step 5: Solve for x
    x = 137,020,542,754.56/403,393.60
  6. Step 6: Final answer
    x = 339,669.60

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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.