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Finding the Fourth Proportional to 409,861.17, 565,415.38 and 266,568.93

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Solution

The fourth proportional to 409,861.17, 565,415.38 and 266,568.93 is: 367,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861.17 : 565,415.38 = 266,568.93 : x
  2. Step 2: Convert to fraction form
    409,861.17/565,415.38 = 266,568.93/x
  3. Step 3: Cross multiply
    409,861.17x = 565,415.38 × 266,568.93
  4. Step 4: Simplify right side
    409,861.17x = 150,722,171,685.90
  5. Step 5: Solve for x
    x = 150,722,171,685.90/409,861.17
  6. Step 6: Final answer
    x = 367,739.57

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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.