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Finding the Fourth Proportional to 403,467.96, 605,218.65 and 119,158.57

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Solution

The fourth proportional to 403,467.96, 605,218.65 and 119,158.57 is: 178,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,467.96 : 605,218.65 = 119,158.57 : x
  2. Step 2: Convert to fraction form
    403,467.96/605,218.65 = 119,158.57/x
  3. Step 3: Cross multiply
    403,467.96x = 605,218.65 × 119,158.57
  4. Step 4: Simplify right side
    403,467.96x = 72,116,985,249.44
  5. Step 5: Solve for x
    x = 72,116,985,249.44/403,467.96
  6. Step 6: Final answer
    x = 178,742.78

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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.