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Finding the Fourth Proportional to 311,665.36, 467,022.28 and 185,056.28

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Solution

The fourth proportional to 311,665.36, 467,022.28 and 185,056.28 is: 277,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,665.36 : 467,022.28 = 185,056.28 : x
  2. Step 2: Convert to fraction form
    311,665.36/467,022.28 = 185,056.28/x
  3. Step 3: Cross multiply
    311,665.36x = 467,022.28 × 185,056.28
  4. Step 4: Simplify right side
    311,665.36x = 86,425,405,813.92
  5. Step 5: Solve for x
    x = 86,425,405,813.92/311,665.36
  6. Step 6: Final answer
    x = 277,301.93

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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.