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Finding the Fourth Proportional to 284,992.80, 427,388.40 and 97,960.80

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Solution

The fourth proportional to 284,992.80, 427,388.40 and 97,960.80 is: 146,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,992.80 : 427,388.40 = 97,960.80 : x
  2. Step 2: Convert to fraction form
    284,992.80/427,388.40 = 97,960.80/x
  3. Step 3: Cross multiply
    284,992.80x = 427,388.40 × 97,960.80
  4. Step 4: Simplify right side
    284,992.80x = 41,867,309,574.72
  5. Step 5: Solve for x
    x = 41,867,309,574.72/284,992.80
  6. Step 6: Final answer
    x = 146,906.55

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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.