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Finding the Fourth Proportional to 308,269.95, 462,414.42 and 83,629.50

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Solution

The fourth proportional to 308,269.95, 462,414.42 and 83,629.50 is: 125,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,269.95 : 462,414.42 = 83,629.50 : x
  2. Step 2: Convert to fraction form
    308,269.95/462,414.42 = 83,629.50/x
  3. Step 3: Cross multiply
    308,269.95x = 462,414.42 × 83,629.50
  4. Step 4: Simplify right side
    308,269.95x = 38,671,486,737.39
  5. Step 5: Solve for x
    x = 38,671,486,737.39/308,269.95
  6. Step 6: Final answer
    x = 125,446.83

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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.