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Finding the Fourth Proportional to 301,163.40, 451,745.10 and 230,304.60

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Solution

The fourth proportional to 301,163.40, 451,745.10 and 230,304.60 is: 345,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,163.40 : 451,745.10 = 230,304.60 : x
  2. Step 2: Convert to fraction form
    301,163.40/451,745.10 = 230,304.60/x
  3. Step 3: Cross multiply
    301,163.40x = 451,745.10 × 230,304.60
  4. Step 4: Simplify right side
    301,163.40x = 104,038,974,557.46
  5. Step 5: Solve for x
    x = 104,038,974,557.46/301,163.40
  6. Step 6: Final answer
    x = 345,456.90

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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.