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Finding the Fourth Proportional to 298,986.48, 412,581.72 and 164,851.44

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Solution

The fourth proportional to 298,986.48, 412,581.72 and 164,851.44 is: 227,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,986.48 : 412,581.72 = 164,851.44 : x
  2. Step 2: Convert to fraction form
    298,986.48/412,581.72 = 164,851.44/x
  3. Step 3: Cross multiply
    298,986.48x = 412,581.72 × 164,851.44
  4. Step 4: Simplify right side
    298,986.48x = 68,014,690,659.68
  5. Step 5: Solve for x
    x = 68,014,690,659.68/298,986.48
  6. Step 6: Final answer
    x = 227,484.17

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Why These Related Problems?

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