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Finding the Fourth Proportional to 361,294.90, 498,617.58 and 200,200.48

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Solution

The fourth proportional to 361,294.90, 498,617.58 and 200,200.48 is: 276,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,294.90 : 498,617.58 = 200,200.48 : x
  2. Step 2: Convert to fraction form
    361,294.90/498,617.58 = 200,200.48/x
  3. Step 3: Cross multiply
    361,294.90x = 498,617.58 × 200,200.48
  4. Step 4: Simplify right side
    361,294.90x = 99,823,478,852.44
  5. Step 5: Solve for x
    x = 99,823,478,852.44/361,294.90
  6. Step 6: Final answer
    x = 276,293.63

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1.5x scale

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.