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Finding the Fourth Proportional to 403,628.40, 605,471.40 and 123,145.20

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Solution

The fourth proportional to 403,628.40, 605,471.40 and 123,145.20 is: 184,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,628.40 : 605,471.40 = 123,145.20 : x
  2. Step 2: Convert to fraction form
    403,628.40/605,471.40 = 123,145.20/x
  3. Step 3: Cross multiply
    403,628.40x = 605,471.40 × 123,145.20
  4. Step 4: Simplify right side
    403,628.40x = 74,560,896,647.28
  5. Step 5: Solve for x
    x = 74,560,896,647.28/403,628.40
  6. Step 6: Final answer
    x = 184,726.59

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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.