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Finding the Fourth Proportional to 516,738.36, 713,164.50 and 290,383.68

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Solution

The fourth proportional to 516,738.36, 713,164.50 and 290,383.68 is: 400,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,738.36 : 713,164.50 = 290,383.68 : x
  2. Step 2: Convert to fraction form
    516,738.36/713,164.50 = 290,383.68/x
  3. Step 3: Cross multiply
    516,738.36x = 713,164.50 × 290,383.68
  4. Step 4: Simplify right side
    516,738.36x = 207,091,331,955.36
  5. Step 5: Solve for x
    x = 207,091,331,955.36/516,738.36
  6. Step 6: Final answer
    x = 400,766.32

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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.