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Finding the Fourth Proportional to 617,500.68, 926,121.42 and 174,165

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Solution

The fourth proportional to 617,500.68, 926,121.42 and 174,165 is: 261,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,500.68 : 926,121.42 = 174,165 : x
  2. Step 2: Convert to fraction form
    617,500.68/926,121.42 = 174,165/x
  3. Step 3: Cross multiply
    617,500.68x = 926,121.42 × 174,165
  4. Step 4: Simplify right side
    617,500.68x = 161,297,937,114.30
  5. Step 5: Solve for x
    x = 161,297,937,114.30/617,500.68
  6. Step 6: Final answer
    x = 261,210.95

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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.