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Finding the Fourth Proportional to 680,872.50, 1,021,216.82 and 281,457.86

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Solution

The fourth proportional to 680,872.50, 1,021,216.82 and 281,457.86 is: 422,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,872.50 : 1,021,216.82 = 281,457.86 : x
  2. Step 2: Convert to fraction form
    680,872.50/1,021,216.82 = 281,457.86/x
  3. Step 3: Cross multiply
    680,872.50x = 1,021,216.82 × 281,457.86
  4. Step 4: Simplify right side
    680,872.50x = 287,429,494,239.83
  5. Step 5: Solve for x
    x = 287,429,494,239.83/680,872.50
  6. Step 6: Final answer
    x = 422,148.78

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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.