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Finding the Fourth Proportional to 403,422.80, 605,069.40 and 122,874.80

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Solution

The fourth proportional to 403,422.80, 605,069.40 and 122,874.80 is: 184,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,422.80 : 605,069.40 = 122,874.80 : x
  2. Step 2: Convert to fraction form
    403,422.80/605,069.40 = 122,874.80/x
  3. Step 3: Cross multiply
    403,422.80x = 605,069.40 × 122,874.80
  4. Step 4: Simplify right side
    403,422.80x = 74,347,781,511.12
  5. Step 5: Solve for x
    x = 74,347,781,511.12/403,422.80
  6. Step 6: Final answer
    x = 184,292.46

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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.