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Finding the Fourth Proportional to 284,016.43, 425,618.70 and 208,544.50

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Solution

The fourth proportional to 284,016.43, 425,618.70 and 208,544.50 is: 312,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,016.43 : 425,618.70 = 208,544.50 : x
  2. Step 2: Convert to fraction form
    284,016.43/425,618.70 = 208,544.50/x
  3. Step 3: Cross multiply
    284,016.43x = 425,618.70 × 208,544.50
  4. Step 4: Simplify right side
    284,016.43x = 88,760,438,982.15
  5. Step 5: Solve for x
    x = 88,760,438,982.15/284,016.43
  6. Step 6: Final answer
    x = 312,518.68

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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.