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Finding the Fourth Proportional to 494,999.28, 682,582.56 and 293,756.40

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Solution

The fourth proportional to 494,999.28, 682,582.56 and 293,756.40 is: 405,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,999.28 : 682,582.56 = 293,756.40 : x
  2. Step 2: Convert to fraction form
    494,999.28/682,582.56 = 293,756.40/x
  3. Step 3: Cross multiply
    494,999.28x = 682,582.56 × 293,756.40
  4. Step 4: Simplify right side
    494,999.28x = 200,512,995,528.38
  5. Step 5: Solve for x
    x = 200,512,995,528.38/494,999.28
  6. Step 6: Final answer
    x = 405,077.35

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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.