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Finding the Fourth Proportional to 465,856.23, 642,866.70 and 261,915.78

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Solution

The fourth proportional to 465,856.23, 642,866.70 and 261,915.78 is: 361,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,856.23 : 642,866.70 = 261,915.78 : x
  2. Step 2: Convert to fraction form
    465,856.23/642,866.70 = 261,915.78/x
  3. Step 3: Cross multiply
    465,856.23x = 642,866.70 × 261,915.78
  4. Step 4: Simplify right side
    465,856.23x = 168,376,933,166.53
  5. Step 5: Solve for x
    x = 168,376,933,166.53/465,856.23
  6. Step 6: Final answer
    x = 361,435.40

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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.