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Finding the Fourth Proportional to 257,091.46, 384,966.51 and 206,897.38

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Solution

The fourth proportional to 257,091.46, 384,966.51 and 206,897.38 is: 309,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,091.46 : 384,966.51 = 206,897.38 : x
  2. Step 2: Convert to fraction form
    257,091.46/384,966.51 = 206,897.38/x
  3. Step 3: Cross multiply
    257,091.46x = 384,966.51 × 206,897.38
  4. Step 4: Simplify right side
    257,091.46x = 79,648,562,306.74
  5. Step 5: Solve for x
    x = 79,648,562,306.74/257,091.46
  6. Step 6: Final answer
    x = 309,806.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.