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Finding the Fourth Proportional to 517,735.72, 776,701.50 and 202,172.68

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Solution

The fourth proportional to 517,735.72, 776,701.50 and 202,172.68 is: 303,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,735.72 : 776,701.50 = 202,172.68 : x
  2. Step 2: Convert to fraction form
    517,735.72/776,701.50 = 202,172.68/x
  3. Step 3: Cross multiply
    517,735.72x = 776,701.50 × 202,172.68
  4. Step 4: Simplify right side
    517,735.72x = 157,027,823,815.02
  5. Step 5: Solve for x
    x = 157,027,823,815.02/517,735.72
  6. Step 6: Final answer
    x = 303,297.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.