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Finding the Fourth Proportional to 492,196.50, 679,231.63 and 265,842

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Solution

The fourth proportional to 492,196.50, 679,231.63 and 265,842 is: 366,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,196.50 : 679,231.63 = 265,842 : x
  2. Step 2: Convert to fraction form
    492,196.50/679,231.63 = 265,842/x
  3. Step 3: Cross multiply
    492,196.50x = 679,231.63 × 265,842
  4. Step 4: Simplify right side
    492,196.50x = 180,568,293,819.40
  5. Step 5: Solve for x
    x = 180,568,293,819.40/492,196.50
  6. Step 6: Final answer
    x = 366,862.21

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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.