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Finding the Fourth Proportional to 516,892.77, 713,207.43 and 301,991.31

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Solution

The fourth proportional to 516,892.77, 713,207.43 and 301,991.31 is: 416,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,892.77 : 713,207.43 = 301,991.31 : x
  2. Step 2: Convert to fraction form
    516,892.77/713,207.43 = 301,991.31/x
  3. Step 3: Cross multiply
    516,892.77x = 713,207.43 × 301,991.31
  4. Step 4: Simplify right side
    516,892.77x = 215,382,446,087.43
  5. Step 5: Solve for x
    x = 215,382,446,087.43/516,892.77
  6. Step 6: Final answer
    x = 416,686.90

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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.