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Finding the Fourth Proportional to 517,222.14, 713,770.08 and 287,789.13

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Solution

The fourth proportional to 517,222.14, 713,770.08 and 287,789.13 is: 397,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,222.14 : 713,770.08 = 287,789.13 : x
  2. Step 2: Convert to fraction form
    517,222.14/713,770.08 = 287,789.13/x
  3. Step 3: Cross multiply
    517,222.14x = 713,770.08 × 287,789.13
  4. Step 4: Simplify right side
    517,222.14x = 205,415,270,343.23
  5. Step 5: Solve for x
    x = 205,415,270,343.23/517,222.14
  6. Step 6: Final answer
    x = 397,150.96

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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.