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Finding the Fourth Proportional to 347,653.38, 479,787.87 and 194,683.78

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Solution

The fourth proportional to 347,653.38, 479,787.87 and 194,683.78 is: 268,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,653.38 : 479,787.87 = 194,683.78 : x
  2. Step 2: Convert to fraction form
    347,653.38/479,787.87 = 194,683.78/x
  3. Step 3: Cross multiply
    347,653.38x = 479,787.87 × 194,683.78
  4. Step 4: Simplify right side
    347,653.38x = 93,406,916,129.75
  5. Step 5: Solve for x
    x = 93,406,916,129.75/347,653.38
  6. Step 6: Final answer
    x = 268,678.29

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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.