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Finding the Fourth Proportional to 516,896.24, 713,212.26 and 301,994.78

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Solution

The fourth proportional to 516,896.24, 713,212.26 and 301,994.78 is: 416,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,896.24 : 713,212.26 = 301,994.78 : x
  2. Step 2: Convert to fraction form
    516,896.24/713,212.26 = 301,994.78/x
  3. Step 3: Cross multiply
    516,896.24x = 713,212.26 × 301,994.78
  4. Step 4: Simplify right side
    516,896.24x = 215,386,375,985.94
  5. Step 5: Solve for x
    x = 215,386,375,985.94/516,896.24
  6. Step 6: Final answer
    x = 416,691.71

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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.