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Finding the Fourth Proportional to 403,589.82, 605,383.05 and 123,106.14

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Solution

The fourth proportional to 403,589.82, 605,383.05 and 123,106.14 is: 184,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,589.82 : 605,383.05 = 123,106.14 : x
  2. Step 2: Convert to fraction form
    403,589.82/605,383.05 = 123,106.14/x
  3. Step 3: Cross multiply
    403,589.82x = 605,383.05 × 123,106.14
  4. Step 4: Simplify right side
    403,589.82x = 74,526,370,506.93
  5. Step 5: Solve for x
    x = 74,526,370,506.93/403,589.82
  6. Step 6: Final answer
    x = 184,658.70

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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.