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Finding the Fourth Proportional to 312,189.86, 468,284.19 and 241,215.64

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Solution

The fourth proportional to 312,189.86, 468,284.19 and 241,215.64 is: 361,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,189.86 : 468,284.19 = 241,215.64 : x
  2. Step 2: Convert to fraction form
    312,189.86/468,284.19 = 241,215.64/x
  3. Step 3: Cross multiply
    312,189.86x = 468,284.19 × 241,215.64
  4. Step 4: Simplify right side
    312,189.86x = 112,957,468,517.46
  5. Step 5: Solve for x
    x = 112,957,468,517.46/312,189.86
  6. Step 6: Final answer
    x = 361,822.99

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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.