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Finding the Fourth Proportional to 308,046.10, 424,876.17 and 194,759.50

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Solution

The fourth proportional to 308,046.10, 424,876.17 and 194,759.50 is: 268,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,046.10 : 424,876.17 = 194,759.50 : x
  2. Step 2: Convert to fraction form
    308,046.10/424,876.17 = 194,759.50/x
  3. Step 3: Cross multiply
    308,046.10x = 424,876.17 × 194,759.50
  4. Step 4: Simplify right side
    308,046.10x = 82,748,670,431.12
  5. Step 5: Solve for x
    x = 82,748,670,431.12/308,046.10
  6. Step 6: Final answer
    x = 268,624.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.