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Finding the Fourth Proportional to 361,546.98, 498,916.56 and 200,400.31

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Solution

The fourth proportional to 361,546.98, 498,916.56 and 200,400.31 is: 276,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,546.98 : 498,916.56 = 200,400.31 : x
  2. Step 2: Convert to fraction form
    361,546.98/498,916.56 = 200,400.31/x
  3. Step 3: Cross multiply
    361,546.98x = 498,916.56 × 200,400.31
  4. Step 4: Simplify right side
    361,546.98x = 99,983,033,288.13
  5. Step 5: Solve for x
    x = 99,983,033,288.13/361,546.98
  6. Step 6: Final answer
    x = 276,542.30

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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.