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Finding the Fourth Proportional to 517,213.60, 713,746.16 and 287,768.48

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Solution

The fourth proportional to 517,213.60, 713,746.16 and 287,768.48 is: 397,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,213.60 : 713,746.16 = 287,768.48 : x
  2. Step 2: Convert to fraction form
    517,213.60/713,746.16 = 287,768.48/x
  3. Step 3: Cross multiply
    517,213.60x = 713,746.16 × 287,768.48
  4. Step 4: Simplify right side
    517,213.60x = 205,393,647,569.04
  5. Step 5: Solve for x
    x = 205,393,647,569.04/517,213.60
  6. Step 6: Final answer
    x = 397,115.71

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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.