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Finding the Fourth Proportional to 361,352.54, 498,682.47 and 200,207.55

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Solution

The fourth proportional to 361,352.54, 498,682.47 and 200,207.55 is: 276,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,352.54 : 498,682.47 = 200,207.55 : x
  2. Step 2: Convert to fraction form
    361,352.54/498,682.47 = 200,207.55/x
  3. Step 3: Cross multiply
    361,352.54x = 498,682.47 × 200,207.55
  4. Step 4: Simplify right side
    361,352.54x = 99,839,995,362.40
  5. Step 5: Solve for x
    x = 99,839,995,362.40/361,352.54
  6. Step 6: Final answer
    x = 276,295.26

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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.