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Finding the Fourth Proportional to 513,338.87, 769,465.31 and 193,352.29

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Solution

The fourth proportional to 513,338.87, 769,465.31 and 193,352.29 is: 289,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,338.87 : 769,465.31 = 193,352.29 : x
  2. Step 2: Convert to fraction form
    513,338.87/769,465.31 = 193,352.29/x
  3. Step 3: Cross multiply
    513,338.87x = 769,465.31 × 193,352.29
  4. Step 4: Simplify right side
    513,338.87x = 148,777,875,916.73
  5. Step 5: Solve for x
    x = 148,777,875,916.73/513,338.87
  6. Step 6: Final answer
    x = 289,823.91

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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.