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Finding the Fourth Proportional to 403,796.80, 605,014.80 and 319,232.80

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Solution

The fourth proportional to 403,796.80, 605,014.80 and 319,232.80 is: 478,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,796.80 : 605,014.80 = 319,232.80 : x
  2. Step 2: Convert to fraction form
    403,796.80/605,014.80 = 319,232.80/x
  3. Step 3: Cross multiply
    403,796.80x = 605,014.80 × 319,232.80
  4. Step 4: Simplify right side
    403,796.80x = 193,140,568,645.44
  5. Step 5: Solve for x
    x = 193,140,568,645.44/403,796.80
  6. Step 6: Final answer
    x = 478,311.29

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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.