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Finding the Fourth Proportional to 403,863.76, 605,862.06 and 151,231.24

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Solution

The fourth proportional to 403,863.76, 605,862.06 and 151,231.24 is: 226,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,863.76 : 605,862.06 = 151,231.24 : x
  2. Step 2: Convert to fraction form
    403,863.76/605,862.06 = 151,231.24/x
  3. Step 3: Cross multiply
    403,863.76x = 605,862.06 × 151,231.24
  4. Step 4: Simplify right side
    403,863.76x = 91,625,270,602.75
  5. Step 5: Solve for x
    x = 91,625,270,602.75/403,863.76
  6. Step 6: Final answer
    x = 226,871.73

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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.