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Finding the Fourth Proportional to 414,810.46, 622,586.56 and 212,544.56

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Solution

The fourth proportional to 414,810.46, 622,586.56 and 212,544.56 is: 319,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,810.46 : 622,586.56 = 212,544.56 : x
  2. Step 2: Convert to fraction form
    414,810.46/622,586.56 = 212,544.56/x
  3. Step 3: Cross multiply
    414,810.46x = 622,586.56 × 212,544.56
  4. Step 4: Simplify right side
    414,810.46x = 132,327,386,457.11
  5. Step 5: Solve for x
    x = 132,327,386,457.11/414,810.46
  6. Step 6: Final answer
    x = 319,006.87

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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.