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Finding the Fourth Proportional to 445,234.26, 614,516.01 and 409,367.46

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Solution

The fourth proportional to 445,234.26, 614,516.01 and 409,367.46 is: 565,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,234.26 : 614,516.01 = 409,367.46 : x
  2. Step 2: Convert to fraction form
    445,234.26/614,516.01 = 409,367.46/x
  3. Step 3: Cross multiply
    445,234.26x = 614,516.01 × 409,367.46
  4. Step 4: Simplify right side
    445,234.26x = 251,562,858,143.04
  5. Step 5: Solve for x
    x = 251,562,858,143.04/445,234.26
  6. Step 6: Final answer
    x = 565,012.36

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