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Finding the Fourth Proportional to 279,683.49, 419,363.24 and 191,044.11

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Solution

The fourth proportional to 279,683.49, 419,363.24 and 191,044.11 is: 286,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,683.49 : 419,363.24 = 191,044.11 : x
  2. Step 2: Convert to fraction form
    279,683.49/419,363.24 = 191,044.11/x
  3. Step 3: Cross multiply
    279,683.49x = 419,363.24 × 191,044.11
  4. Step 4: Simplify right side
    279,683.49x = 80,116,875,997.30
  5. Step 5: Solve for x
    x = 80,116,875,997.30/279,683.49
  6. Step 6: Final answer
    x = 286,455.51

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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.