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Finding the Fourth Proportional to 227,578.24, 341,419.20 and 69,819.40

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Solution

The fourth proportional to 227,578.24, 341,419.20 and 69,819.40 is: 104,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,578.24 : 341,419.20 = 69,819.40 : x
  2. Step 2: Convert to fraction form
    227,578.24/341,419.20 = 69,819.40/x
  3. Step 3: Cross multiply
    227,578.24x = 341,419.20 × 69,819.40
  4. Step 4: Simplify right side
    227,578.24x = 23,837,683,692.48
  5. Step 5: Solve for x
    x = 23,837,683,692.48/227,578.24
  6. Step 6: Final answer
    x = 104,745.00

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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.