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Finding the Fourth Proportional to 308,269.83, 462,435.53 and 83,633.97

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Solution

The fourth proportional to 308,269.83, 462,435.53 and 83,633.97 is: 125,459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,269.83 : 462,435.53 = 83,633.97 : x
  2. Step 2: Convert to fraction form
    308,269.83/462,435.53 = 83,633.97/x
  3. Step 3: Cross multiply
    308,269.83x = 462,435.53 × 83,633.97
  4. Step 4: Simplify right side
    308,269.83x = 38,675,318,824.78
  5. Step 5: Solve for x
    x = 38,675,318,824.78/308,269.83
  6. Step 6: Final answer
    x = 125,459.31

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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.