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Finding the Fourth Proportional to 516,899.27, 713,216.40 and 301,997.81

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Solution

The fourth proportional to 516,899.27, 713,216.40 and 301,997.81 is: 416,695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,899.27 : 713,216.40 = 301,997.81 : x
  2. Step 2: Convert to fraction form
    516,899.27/713,216.40 = 301,997.81/x
  3. Step 3: Cross multiply
    516,899.27x = 713,216.40 × 301,997.81
  4. Step 4: Simplify right side
    516,899.27x = 215,389,790,856.08
  5. Step 5: Solve for x
    x = 215,389,790,856.08/516,899.27
  6. Step 6: Final answer
    x = 416,695.87

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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.