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Finding the Fourth Proportional to 298,619.78, 412,095.24 and 164,483.78

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Solution

The fourth proportional to 298,619.78, 412,095.24 and 164,483.78 is: 226,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,619.78 : 412,095.24 = 164,483.78 : x
  2. Step 2: Convert to fraction form
    298,619.78/412,095.24 = 164,483.78/x
  3. Step 3: Cross multiply
    298,619.78x = 412,095.24 × 164,483.78
  4. Step 4: Simplify right side
    298,619.78x = 67,782,982,795.21
  5. Step 5: Solve for x
    x = 67,782,982,795.21/298,619.78
  6. Step 6: Final answer
    x = 226,987.59

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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.