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Finding the Fourth Proportional to 653,783.92, 980,833.96 and 227,258.17

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Solution

The fourth proportional to 653,783.92, 980,833.96 and 227,258.17 is: 340,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,783.92 : 980,833.96 = 227,258.17 : x
  2. Step 2: Convert to fraction form
    653,783.92/980,833.96 = 227,258.17/x
  3. Step 3: Cross multiply
    653,783.92x = 980,833.96 × 227,258.17
  4. Step 4: Simplify right side
    653,783.92x = 222,902,530,823.45
  5. Step 5: Solve for x
    x = 222,902,530,823.45/653,783.92
  6. Step 6: Final answer
    x = 340,942.20

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Why These Related Problems?

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