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Finding the Fourth Proportional to 275,250.95, 412,950.23 and 219,302.02

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Solution

The fourth proportional to 275,250.95, 412,950.23 and 219,302.02 is: 329,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,250.95 : 412,950.23 = 219,302.02 : x
  2. Step 2: Convert to fraction form
    275,250.95/412,950.23 = 219,302.02/x
  3. Step 3: Cross multiply
    275,250.95x = 412,950.23 × 219,302.02
  4. Step 4: Simplify right side
    275,250.95x = 90,560,819,598.46
  5. Step 5: Solve for x
    x = 90,560,819,598.46/275,250.95
  6. Step 6: Final answer
    x = 329,011.83

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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.