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Finding the Fourth Proportional to 507,035.18, 699,708.70 and 280,680.68

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Solution

The fourth proportional to 507,035.18, 699,708.70 and 280,680.68 is: 387,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,035.18 : 699,708.70 = 280,680.68 : x
  2. Step 2: Convert to fraction form
    507,035.18/699,708.70 = 280,680.68/x
  3. Step 3: Cross multiply
    507,035.18x = 699,708.70 × 280,680.68
  4. Step 4: Simplify right side
    507,035.18x = 196,394,713,717.92
  5. Step 5: Solve for x
    x = 196,394,713,717.92/507,035.18
  6. Step 6: Final answer
    x = 387,339.42

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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.