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Finding the Fourth Proportional to 410,079.52, 566,142.24 and 266,767.84

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Solution

The fourth proportional to 410,079.52, 566,142.24 and 266,767.84 is: 368,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,079.52 : 566,142.24 = 266,767.84 : x
  2. Step 2: Convert to fraction form
    410,079.52/566,142.24 = 266,767.84/x
  3. Step 3: Cross multiply
    410,079.52x = 566,142.24 × 266,767.84
  4. Step 4: Simplify right side
    410,079.52x = 151,028,542,497.56
  5. Step 5: Solve for x
    x = 151,028,542,497.56/410,079.52
  6. Step 6: Final answer
    x = 368,290.87

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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.