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Finding the Fourth Proportional to 517,319.20, 713,837.82 and 287,822.31

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Solution

The fourth proportional to 517,319.20, 713,837.82 and 287,822.31 is: 397,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,319.20 : 713,837.82 = 287,822.31 : x
  2. Step 2: Convert to fraction form
    517,319.20/713,837.82 = 287,822.31/x
  3. Step 3: Cross multiply
    517,319.20x = 713,837.82 × 287,822.31
  4. Step 4: Simplify right side
    517,319.20x = 205,458,450,317.76
  5. Step 5: Solve for x
    x = 205,458,450,317.76/517,319.20
  6. Step 6: Final answer
    x = 397,159.92

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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.