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Finding the Fourth Proportional to 493,520.32, 681,016.62 and 289,549.76

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Solution

The fourth proportional to 493,520.32, 681,016.62 and 289,549.76 is: 399,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,520.32 : 681,016.62 = 289,549.76 : x
  2. Step 2: Convert to fraction form
    493,520.32/681,016.62 = 289,549.76/x
  3. Step 3: Cross multiply
    493,520.32x = 681,016.62 × 289,549.76
  4. Step 4: Simplify right side
    493,520.32x = 197,188,198,877.01
  5. Step 5: Solve for x
    x = 197,188,198,877.01/493,520.32
  6. Step 6: Final answer
    x = 399,554.37

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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.