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Finding the Fourth Proportional to 298,843.90, 412,404.51 and 164,707.90

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Solution

The fourth proportional to 298,843.90, 412,404.51 and 164,707.90 is: 227,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,843.90 : 412,404.51 = 164,707.90 : x
  2. Step 2: Convert to fraction form
    298,843.90/412,404.51 = 164,707.90/x
  3. Step 3: Cross multiply
    298,843.90x = 412,404.51 × 164,707.90
  4. Step 4: Simplify right side
    298,843.90x = 67,926,280,792.63
  5. Step 5: Solve for x
    x = 67,926,280,792.63/298,843.90
  6. Step 6: Final answer
    x = 227,296.86

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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.