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Finding the Fourth Proportional to 361,592.43, 498,964.01 and 200,433.78

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Solution

The fourth proportional to 361,592.43, 498,964.01 and 200,433.78 is: 276,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,592.43 : 498,964.01 = 200,433.78 : x
  2. Step 2: Convert to fraction form
    361,592.43/498,964.01 = 200,433.78/x
  3. Step 3: Cross multiply
    361,592.43x = 498,964.01 × 200,433.78
  4. Step 4: Simplify right side
    361,592.43x = 100,009,242,608.26
  5. Step 5: Solve for x
    x = 100,009,242,608.26/361,592.43
  6. Step 6: Final answer
    x = 276,580.02

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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.