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Finding the Fourth Proportional to 517,201.20, 713,571.51 and 313,186.90

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Solution

The fourth proportional to 517,201.20, 713,571.51 and 313,186.90 is: 432,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,201.20 : 713,571.51 = 313,186.90 : x
  2. Step 2: Convert to fraction form
    517,201.20/713,571.51 = 313,186.90/x
  3. Step 3: Cross multiply
    517,201.20x = 713,571.51 × 313,186.90
  4. Step 4: Simplify right side
    517,201.20x = 223,481,249,145.22
  5. Step 5: Solve for x
    x = 223,481,249,145.22/517,201.20
  6. Step 6: Final answer
    x = 432,097.31

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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.