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Finding the Fourth Proportional to 516,893.77, 713,208.81 and 301,992.31

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Solution

The fourth proportional to 516,893.77, 713,208.81 and 301,992.31 is: 416,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,893.77 : 713,208.81 = 301,992.31 : x
  2. Step 2: Convert to fraction form
    516,893.77/713,208.81 = 301,992.31/x
  3. Step 3: Cross multiply
    516,893.77x = 713,208.81 × 301,992.31
  4. Step 4: Simplify right side
    516,893.77x = 215,383,576,044.25
  5. Step 5: Solve for x
    x = 215,383,576,044.25/516,893.77
  6. Step 6: Final answer
    x = 416,688.28

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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.