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Finding the Fourth Proportional to 407,815.60, 611,942.10 and 171,182.20

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Solution

The fourth proportional to 407,815.60, 611,942.10 and 171,182.20 is: 256,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,815.60 : 611,942.10 = 171,182.20 : x
  2. Step 2: Convert to fraction form
    407,815.60/611,942.10 = 171,182.20/x
  3. Step 3: Cross multiply
    407,815.60x = 611,942.10 × 171,182.20
  4. Step 4: Simplify right side
    407,815.60x = 104,753,594,950.62
  5. Step 5: Solve for x
    x = 104,753,594,950.62/407,815.60
  6. Step 6: Final answer
    x = 256,865.10

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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.