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Finding the Fourth Proportional to 372,745.86, 514,375.78 and 227,794.15

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Solution

The fourth proportional to 372,745.86, 514,375.78 and 227,794.15 is: 314,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,745.86 : 514,375.78 = 227,794.15 : x
  2. Step 2: Convert to fraction form
    372,745.86/514,375.78 = 227,794.15/x
  3. Step 3: Cross multiply
    372,745.86x = 514,375.78 × 227,794.15
  4. Step 4: Simplify right side
    372,745.86x = 117,171,793,280.28
  5. Step 5: Solve for x
    x = 117,171,793,280.28/372,745.86
  6. Step 6: Final answer
    x = 314,347.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.