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Finding the Fourth Proportional to 376,516.48, 519,599.10 and 206,766.40

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Solution

The fourth proportional to 376,516.48, 519,599.10 and 206,766.40 is: 285,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,516.48 : 519,599.10 = 206,766.40 : x
  2. Step 2: Convert to fraction form
    376,516.48/519,599.10 = 206,766.40/x
  3. Step 3: Cross multiply
    376,516.48x = 519,599.10 × 206,766.40
  4. Step 4: Simplify right side
    376,516.48x = 107,435,635,873.86
  5. Step 5: Solve for x
    x = 107,435,635,873.86/376,516.48
  6. Step 6: Final answer
    x = 285,341.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.