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Finding the Fourth Proportional to 400,099.48, 600,464.72 and 175,614.86

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Solution

The fourth proportional to 400,099.48, 600,464.72 and 175,614.86 is: 263,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,099.48 : 600,464.72 = 175,614.86 : x
  2. Step 2: Convert to fraction form
    400,099.48/600,464.72 = 175,614.86/x
  3. Step 3: Cross multiply
    400,099.48x = 600,464.72 × 175,614.86
  4. Step 4: Simplify right side
    400,099.48x = 105,450,529,677.94
  5. Step 5: Solve for x
    x = 105,450,529,677.94/400,099.48
  6. Step 6: Final answer
    x = 263,560.78

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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.