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Finding the Fourth Proportional to 414,096.60, 621,150.84 and 272,846.37

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Solution

The fourth proportional to 414,096.60, 621,150.84 and 272,846.37 is: 409,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,096.60 : 621,150.84 = 272,846.37 : x
  2. Step 2: Convert to fraction form
    414,096.60/621,150.84 = 272,846.37/x
  3. Step 3: Cross multiply
    414,096.60x = 621,150.84 × 272,846.37
  4. Step 4: Simplify right side
    414,096.60x = 169,478,751,916.45
  5. Step 5: Solve for x
    x = 169,478,751,916.45/414,096.60
  6. Step 6: Final answer
    x = 409,273.47

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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.