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Finding the Fourth Proportional to 273,214.80, 409,822.20 and 229,912.20

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Solution

The fourth proportional to 273,214.80, 409,822.20 and 229,912.20 is: 344,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,214.80 : 409,822.20 = 229,912.20 : x
  2. Step 2: Convert to fraction form
    273,214.80/409,822.20 = 229,912.20/x
  3. Step 3: Cross multiply
    273,214.80x = 409,822.20 × 229,912.20
  4. Step 4: Simplify right side
    273,214.80x = 94,223,123,610.84
  5. Step 5: Solve for x
    x = 94,223,123,610.84/273,214.80
  6. Step 6: Final answer
    x = 344,868.30

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1.5x scale

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.