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Finding the Fourth Proportional to 493,282.24, 739,916.88 and 119,302

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Solution

The fourth proportional to 493,282.24, 739,916.88 and 119,302 is: 178,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,282.24 : 739,916.88 = 119,302 : x
  2. Step 2: Convert to fraction form
    493,282.24/739,916.88 = 119,302/x
  3. Step 3: Cross multiply
    493,282.24x = 739,916.88 × 119,302
  4. Step 4: Simplify right side
    493,282.24x = 88,273,563,617.76
  5. Step 5: Solve for x
    x = 88,273,563,617.76/493,282.24
  6. Step 6: Final answer
    x = 178,951.43

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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.