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Finding the Fourth Proportional to 312,434.96, 468,336.87 and 123,028.27

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Solution

The fourth proportional to 312,434.96, 468,336.87 and 123,028.27 is: 184,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,434.96 : 468,336.87 = 123,028.27 : x
  2. Step 2: Convert to fraction form
    312,434.96/468,336.87 = 123,028.27/x
  3. Step 3: Cross multiply
    312,434.96x = 468,336.87 × 123,028.27
  4. Step 4: Simplify right side
    312,434.96x = 57,618,673,722.47
  5. Step 5: Solve for x
    x = 57,618,673,722.47/312,434.96
  6. Step 6: Final answer
    x = 184,418.14

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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.