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Finding the Fourth Proportional to 403,542.70, 605,312.43 and 123,059.14

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Solution

The fourth proportional to 403,542.70, 605,312.43 and 123,059.14 is: 184,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,542.70 : 605,312.43 = 123,059.14 : x
  2. Step 2: Convert to fraction form
    403,542.70/605,312.43 = 123,059.14/x
  3. Step 3: Cross multiply
    403,542.70x = 605,312.43 × 123,059.14
  4. Step 4: Simplify right side
    403,542.70x = 74,489,227,067.11
  5. Step 5: Solve for x
    x = 74,489,227,067.11/403,542.70
  6. Step 6: Final answer
    x = 184,588.22

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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.