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Finding the Fourth Proportional to 308,397.90, 462,386.25 and 164,325.36

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Solution

The fourth proportional to 308,397.90, 462,386.25 and 164,325.36 is: 246,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,397.90 : 462,386.25 = 164,325.36 : x
  2. Step 2: Convert to fraction form
    308,397.90/462,386.25 = 164,325.36/x
  3. Step 3: Cross multiply
    308,397.90x = 462,386.25 × 164,325.36
  4. Step 4: Simplify right side
    308,397.90x = 75,981,786,990.30
  5. Step 5: Solve for x
    x = 75,981,786,990.30/308,397.90
  6. Step 6: Final answer
    x = 246,375.82

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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.