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Finding the Fourth Proportional to 517,013.80, 713,461.92 and 287,564.60

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Solution

The fourth proportional to 517,013.80, 713,461.92 and 287,564.60 is: 396,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,013.80 : 713,461.92 = 287,564.60 : x
  2. Step 2: Convert to fraction form
    517,013.80/713,461.92 = 287,564.60/x
  3. Step 3: Cross multiply
    517,013.80x = 713,461.92 × 287,564.60
  4. Step 4: Simplify right side
    517,013.80x = 205,166,389,949.65
  5. Step 5: Solve for x
    x = 205,166,389,949.65/517,013.80
  6. Step 6: Final answer
    x = 396,829.62

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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.