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Finding the Fourth Proportional to 400,099.22, 600,464.34 and 175,614.60

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Solution

The fourth proportional to 400,099.22, 600,464.34 and 175,614.60 is: 263,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,099.22 : 600,464.34 = 175,614.60 : x
  2. Step 2: Convert to fraction form
    400,099.22/600,464.34 = 175,614.60/x
  3. Step 3: Cross multiply
    400,099.22x = 600,464.34 × 175,614.60
  4. Step 4: Simplify right side
    400,099.22x = 105,450,304,883.36
  5. Step 5: Solve for x
    x = 105,450,304,883.36/400,099.22
  6. Step 6: Final answer
    x = 263,560.39

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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.