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Finding the Fourth Proportional to 483,842.92, 726,044.26 and 199,480.48

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Solution

The fourth proportional to 483,842.92, 726,044.26 and 199,480.48 is: 299,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,842.92 : 726,044.26 = 199,480.48 : x
  2. Step 2: Convert to fraction form
    483,842.92/726,044.26 = 199,480.48/x
  3. Step 3: Cross multiply
    483,842.92x = 726,044.26 × 199,480.48
  4. Step 4: Simplify right side
    483,842.92x = 144,831,657,486.05
  5. Step 5: Solve for x
    x = 144,831,657,486.05/483,842.92
  6. Step 6: Final answer
    x = 299,336.11

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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.