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Finding the Fourth Proportional to 256,162.34, 383,456.18 and 218,370.98

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Solution

The fourth proportional to 256,162.34, 383,456.18 and 218,370.98 is: 326,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,162.34 : 383,456.18 = 218,370.98 : x
  2. Step 2: Convert to fraction form
    256,162.34/383,456.18 = 218,370.98/x
  3. Step 3: Cross multiply
    256,162.34x = 383,456.18 × 218,370.98
  4. Step 4: Simplify right side
    256,162.34x = 83,735,701,813.66
  5. Step 5: Solve for x
    x = 83,735,701,813.66/256,162.34
  6. Step 6: Final answer
    x = 326,885.29

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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.