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Finding the Fourth Proportional to 505,358.10, 758,049.30 and 150,383.70

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Solution

The fourth proportional to 505,358.10, 758,049.30 and 150,383.70 is: 225,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,358.10 : 758,049.30 = 150,383.70 : x
  2. Step 2: Convert to fraction form
    505,358.10/758,049.30 = 150,383.70/x
  3. Step 3: Cross multiply
    505,358.10x = 758,049.30 × 150,383.70
  4. Step 4: Simplify right side
    505,358.10x = 113,998,258,516.41
  5. Step 5: Solve for x
    x = 113,998,258,516.41/505,358.10
  6. Step 6: Final answer
    x = 225,579.17

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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.