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Finding the Fourth Proportional to 403,828.60, 605,524.20 and 167,195.20

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Solution

The fourth proportional to 403,828.60, 605,524.20 and 167,195.20 is: 250,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,828.60 : 605,524.20 = 167,195.20 : x
  2. Step 2: Convert to fraction form
    403,828.60/605,524.20 = 167,195.20/x
  3. Step 3: Cross multiply
    403,828.60x = 605,524.20 × 167,195.20
  4. Step 4: Simplify right side
    403,828.60x = 101,240,739,723.84
  5. Step 5: Solve for x
    x = 101,240,739,723.84/403,828.60
  6. Step 6: Final answer
    x = 250,702.25

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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.