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Finding the Fourth Proportional to 308,634.36, 462,948.24 and 234,211.56

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Solution

The fourth proportional to 308,634.36, 462,948.24 and 234,211.56 is: 351,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,634.36 : 462,948.24 = 234,211.56 : x
  2. Step 2: Convert to fraction form
    308,634.36/462,948.24 = 234,211.56/x
  3. Step 3: Cross multiply
    308,634.36x = 462,948.24 × 234,211.56
  4. Step 4: Simplify right side
    308,634.36x = 108,427,829,489.65
  5. Step 5: Solve for x
    x = 108,427,829,489.65/308,634.36
  6. Step 6: Final answer
    x = 351,314.84

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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.