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Finding the Fourth Proportional to 361,538.68, 498,953.24 and 200,444.28

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Solution

The fourth proportional to 361,538.68, 498,953.24 and 200,444.28 is: 276,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,538.68 : 498,953.24 = 200,444.28 : x
  2. Step 2: Convert to fraction form
    361,538.68/498,953.24 = 200,444.28/x
  3. Step 3: Cross multiply
    361,538.68x = 498,953.24 × 200,444.28
  4. Step 4: Simplify right side
    361,538.68x = 100,012,322,945.47
  5. Step 5: Solve for x
    x = 100,012,322,945.47/361,538.68
  6. Step 6: Final answer
    x = 276,629.66

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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.