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Finding the Fourth Proportional to 361,490.37, 498,843.12 and 200,348.16

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Solution

The fourth proportional to 361,490.37, 498,843.12 and 200,348.16 is: 276,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,490.37 : 498,843.12 = 200,348.16 : x
  2. Step 2: Convert to fraction form
    361,490.37/498,843.12 = 200,348.16/x
  3. Step 3: Cross multiply
    361,490.37x = 498,843.12 × 200,348.16
  4. Step 4: Simplify right side
    361,490.37x = 99,942,301,220.66
  5. Step 5: Solve for x
    x = 99,942,301,220.66/361,490.37
  6. Step 6: Final answer
    x = 276,472.93

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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.