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Finding the Fourth Proportional to 516,984.31, 713,502.44 and 290,629.81

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Solution

The fourth proportional to 516,984.31, 713,502.44 and 290,629.81 is: 401,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,984.31 : 713,502.44 = 290,629.81 : x
  2. Step 2: Convert to fraction form
    516,984.31/713,502.44 = 290,629.81/x
  3. Step 3: Cross multiply
    516,984.31x = 713,502.44 × 290,629.81
  4. Step 4: Simplify right side
    516,984.31x = 207,365,078,571.74
  5. Step 5: Solve for x
    x = 207,365,078,571.74/516,984.31
  6. Step 6: Final answer
    x = 401,105.17

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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.