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Finding the Fourth Proportional to 273,204.30, 409,806.45 and 229,901.70

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Solution

The fourth proportional to 273,204.30, 409,806.45 and 229,901.70 is: 344,852.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,204.30 : 409,806.45 = 229,901.70 : x
  2. Step 2: Convert to fraction form
    273,204.30/409,806.45 = 229,901.70/x
  3. Step 3: Cross multiply
    273,204.30x = 409,806.45 × 229,901.70
  4. Step 4: Simplify right side
    273,204.30x = 94,215,199,525.97
  5. Step 5: Solve for x
    x = 94,215,199,525.97/273,204.30
  6. Step 6: Final answer
    x = 344,852.55

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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.