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Finding the Fourth Proportional to 273,529.76, 409,360.80 and 229,206.56

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Solution

The fourth proportional to 273,529.76, 409,360.80 and 229,206.56 is: 343,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,529.76 : 409,360.80 = 229,206.56 : x
  2. Step 2: Convert to fraction form
    273,529.76/409,360.80 = 229,206.56/x
  3. Step 3: Cross multiply
    273,529.76x = 409,360.80 × 229,206.56
  4. Step 4: Simplify right side
    273,529.76x = 93,828,180,766.85
  5. Step 5: Solve for x
    x = 93,828,180,766.85/273,529.76
  6. Step 6: Final answer
    x = 343,027.32

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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.