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Finding the Fourth Proportional to 516,786.31, 713,004.82 and 301,771.27

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Solution

The fourth proportional to 516,786.31, 713,004.82 and 301,771.27 is: 416,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,786.31 : 713,004.82 = 301,771.27 : x
  2. Step 2: Convert to fraction form
    516,786.31/713,004.82 = 301,771.27/x
  3. Step 3: Cross multiply
    516,786.31x = 713,004.82 × 301,771.27
  4. Step 4: Simplify right side
    516,786.31x = 215,164,370,047.52
  5. Step 5: Solve for x
    x = 215,164,370,047.52/516,786.31
  6. Step 6: Final answer
    x = 416,350.75

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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.