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Finding the Fourth Proportional to 403,542.20, 605,311.68 and 123,058.64

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Solution

The fourth proportional to 403,542.20, 605,311.68 and 123,058.64 is: 184,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,542.20 : 605,311.68 = 123,058.64 : x
  2. Step 2: Convert to fraction form
    403,542.20/605,311.68 = 123,058.64/x
  3. Step 3: Cross multiply
    403,542.20x = 605,311.68 × 123,058.64
  4. Step 4: Simplify right side
    403,542.20x = 74,488,832,116.92
  5. Step 5: Solve for x
    x = 74,488,832,116.92/403,542.20
  6. Step 6: Final answer
    x = 184,587.47

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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.