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Finding the Fourth Proportional to 400,771.61, 601,157.43 and 101,253.05

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Solution

The fourth proportional to 400,771.61, 601,157.43 and 101,253.05 is: 151,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,771.61 : 601,157.43 = 101,253.05 : x
  2. Step 2: Convert to fraction form
    400,771.61/601,157.43 = 101,253.05/x
  3. Step 3: Cross multiply
    400,771.61x = 601,157.43 × 101,253.05
  4. Step 4: Simplify right side
    400,771.61x = 60,869,023,317.66
  5. Step 5: Solve for x
    x = 60,869,023,317.66/400,771.61
  6. Step 6: Final answer
    x = 151,879.58

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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.