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Finding the Fourth Proportional to 516,716.15, 713,083.73 and 284,131.01

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Solution

The fourth proportional to 516,716.15, 713,083.73 and 284,131.01 is: 392,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,716.15 : 713,083.73 = 284,131.01 : x
  2. Step 2: Convert to fraction form
    516,716.15/713,083.73 = 284,131.01/x
  3. Step 3: Cross multiply
    516,716.15x = 713,083.73 × 284,131.01
  4. Step 4: Simplify right side
    516,716.15x = 202,609,197,919.54
  5. Step 5: Solve for x
    x = 202,609,197,919.54/516,716.15
  6. Step 6: Final answer
    x = 392,109.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.