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Finding the Fourth Proportional to 308,351.29, 462,316.44 and 164,278.66

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Solution

The fourth proportional to 308,351.29, 462,316.44 and 164,278.66 is: 246,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,351.29 : 462,316.44 = 164,278.66 : x
  2. Step 2: Convert to fraction form
    308,351.29/462,316.44 = 164,278.66/x
  3. Step 3: Cross multiply
    308,351.29x = 462,316.44 × 164,278.66
  4. Step 4: Simplify right side
    308,351.29x = 75,948,725,259.17
  5. Step 5: Solve for x
    x = 75,948,725,259.17/308,351.29
  6. Step 6: Final answer
    x = 246,305.85

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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.