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Finding the Fourth Proportional to 293,401, 404,902.02 and 159,273.64

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Solution

The fourth proportional to 293,401, 404,902.02 and 159,273.64 is: 219,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,401 : 404,902.02 = 159,273.64 : x
  2. Step 2: Convert to fraction form
    293,401/404,902.02 = 159,273.64/x
  3. Step 3: Cross multiply
    293,401x = 404,902.02 × 159,273.64
  4. Step 4: Simplify right side
    293,401x = 64,490,218,568.75
  5. Step 5: Solve for x
    x = 64,490,218,568.75/293,401
  6. Step 6: Final answer
    x = 219,802.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.