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Finding the Fourth Proportional to 412,719.87, 569,343.80 and 269,563.71

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Solution

The fourth proportional to 412,719.87, 569,343.80 and 269,563.71 is: 371,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,719.87 : 569,343.80 = 269,563.71 : x
  2. Step 2: Convert to fraction form
    412,719.87/569,343.80 = 269,563.71/x
  3. Step 3: Cross multiply
    412,719.87x = 569,343.80 × 269,563.71
  4. Step 4: Simplify right side
    412,719.87x = 153,474,425,645.68
  5. Step 5: Solve for x
    x = 153,474,425,645.68/412,719.87
  6. Step 6: Final answer
    x = 371,861.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.