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Finding the Fourth Proportional to 200,382.56, 300,573.84 and 50,623.28

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Solution

The fourth proportional to 200,382.56, 300,573.84 and 50,623.28 is: 75,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,382.56 : 300,573.84 = 50,623.28 : x
  2. Step 2: Convert to fraction form
    200,382.56/300,573.84 = 50,623.28/x
  3. Step 3: Cross multiply
    200,382.56x = 300,573.84 × 50,623.28
  4. Step 4: Simplify right side
    200,382.56x = 15,216,032,863.11
  5. Step 5: Solve for x
    x = 15,216,032,863.11/200,382.56
  6. Step 6: Final answer
    x = 75,934.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.