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Finding the Fourth Proportional to 396,706.49, 595,296.18 and 144,006.74

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Solution

The fourth proportional to 396,706.49, 595,296.18 and 144,006.74 is: 216,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,706.49 : 595,296.18 = 144,006.74 : x
  2. Step 2: Convert to fraction form
    396,706.49/595,296.18 = 144,006.74/x
  3. Step 3: Cross multiply
    396,706.49x = 595,296.18 × 144,006.74
  4. Step 4: Simplify right side
    396,706.49x = 85,726,659,239.77
  5. Step 5: Solve for x
    x = 85,726,659,239.77/396,706.49
  6. Step 6: Final answer
    x = 216,095.94

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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.