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Finding the Fourth Proportional to 386,916.67, 580,694.82 and 197,516.98

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Solution

The fourth proportional to 386,916.67, 580,694.82 and 197,516.98 is: 296,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,916.67 : 580,694.82 = 197,516.98 : x
  2. Step 2: Convert to fraction form
    386,916.67/580,694.82 = 197,516.98/x
  3. Step 3: Cross multiply
    386,916.67x = 580,694.82 × 197,516.98
  4. Step 4: Simplify right side
    386,916.67x = 114,697,087,148.04
  5. Step 5: Solve for x
    x = 114,697,087,148.04/386,916.67
  6. Step 6: Final answer
    x = 296,438.73

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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.