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Finding the Fourth Proportional to 273,237.90, 409,419.45 and 179,634.30

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Solution

The fourth proportional to 273,237.90, 409,419.45 and 179,634.30 is: 269,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,237.90 : 409,419.45 = 179,634.30 : x
  2. Step 2: Convert to fraction form
    273,237.90/409,419.45 = 179,634.30/x
  3. Step 3: Cross multiply
    273,237.90x = 409,419.45 × 179,634.30
  4. Step 4: Simplify right side
    273,237.90x = 73,545,776,307.14
  5. Step 5: Solve for x
    x = 73,545,776,307.14/273,237.90
  6. Step 6: Final answer
    x = 269,163.89

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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.