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Finding the Fourth Proportional to 403,714.80, 605,572.20 and 123,231.60

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Solution

The fourth proportional to 403,714.80, 605,572.20 and 123,231.60 is: 184,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,714.80 : 605,572.20 = 123,231.60 : x
  2. Step 2: Convert to fraction form
    403,714.80/605,572.20 = 123,231.60/x
  3. Step 3: Cross multiply
    403,714.80x = 605,572.20 × 123,231.60
  4. Step 4: Simplify right side
    403,714.80x = 74,625,631,121.52
  5. Step 5: Solve for x
    x = 74,625,631,121.52/403,714.80
  6. Step 6: Final answer
    x = 184,847.40

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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.