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Finding the Fourth Proportional to 403,541.70, 605,310.93 and 123,058.14

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Solution

The fourth proportional to 403,541.70, 605,310.93 and 123,058.14 is: 184,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,541.70 : 605,310.93 = 123,058.14 : x
  2. Step 2: Convert to fraction form
    403,541.70/605,310.93 = 123,058.14/x
  3. Step 3: Cross multiply
    403,541.70x = 605,310.93 × 123,058.14
  4. Step 4: Simplify right side
    403,541.70x = 74,488,437,167.47
  5. Step 5: Solve for x
    x = 74,488,437,167.47/403,541.70
  6. Step 6: Final answer
    x = 184,586.72

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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.