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Finding the Fourth Proportional to 302,729.49, 417,745.13 and 180,215.37

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Solution

The fourth proportional to 302,729.49, 417,745.13 and 180,215.37 is: 248,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,729.49 : 417,745.13 = 180,215.37 : x
  2. Step 2: Convert to fraction form
    302,729.49/417,745.13 = 180,215.37/x
  3. Step 3: Cross multiply
    302,729.49x = 417,745.13 × 180,215.37
  4. Step 4: Simplify right side
    302,729.49x = 75,284,092,267.57
  5. Step 5: Solve for x
    x = 75,284,092,267.57/302,729.49
  6. Step 6: Final answer
    x = 248,684.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.