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Finding the Fourth Proportional to 687,481, 948,709.50 and 381,539.62

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Solution

The fourth proportional to 687,481, 948,709.50 and 381,539.62 is: 526,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,481 : 948,709.50 = 381,539.62 : x
  2. Step 2: Convert to fraction form
    687,481/948,709.50 = 381,539.62/x
  3. Step 3: Cross multiply
    687,481x = 948,709.50 × 381,539.62
  4. Step 4: Simplify right side
    687,481x = 361,970,262,120.39
  5. Step 5: Solve for x
    x = 361,970,262,120.39/687,481
  6. Step 6: Final answer
    x = 526,516.75

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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.