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Finding the Fourth Proportional to 403,610.70, 605,416.05 and 167,414.70

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Solution

The fourth proportional to 403,610.70, 605,416.05 and 167,414.70 is: 251,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,610.70 : 605,416.05 = 167,414.70 : x
  2. Step 2: Convert to fraction form
    403,610.70/605,416.05 = 167,414.70/x
  3. Step 3: Cross multiply
    403,610.70x = 605,416.05 × 167,414.70
  4. Step 4: Simplify right side
    403,610.70x = 101,355,546,385.94
  5. Step 5: Solve for x
    x = 101,355,546,385.94/403,610.70
  6. Step 6: Final answer
    x = 251,122.05

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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.