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Finding the Fourth Proportional to 319,793.34, 479,683.42 and 106,576.74

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Solution

The fourth proportional to 319,793.34, 479,683.42 and 106,576.74 is: 159,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,793.34 : 479,683.42 = 106,576.74 : x
  2. Step 2: Convert to fraction form
    319,793.34/479,683.42 = 106,576.74/x
  3. Step 3: Cross multiply
    319,793.34x = 479,683.42 × 106,576.74
  4. Step 4: Simplify right side
    319,793.34x = 51,123,092,737.23
  5. Step 5: Solve for x
    x = 51,123,092,737.23/319,793.34
  6. Step 6: Final answer
    x = 159,862.91

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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.