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Finding the Fourth Proportional to 513,487.68, 770,414.01 and 229,152.36

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Solution

The fourth proportional to 513,487.68, 770,414.01 and 229,152.36 is: 343,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,487.68 : 770,414.01 = 229,152.36 : x
  2. Step 2: Convert to fraction form
    513,487.68/770,414.01 = 229,152.36/x
  3. Step 3: Cross multiply
    513,487.68x = 770,414.01 × 229,152.36
  4. Step 4: Simplify right side
    513,487.68x = 176,542,188,568.56
  5. Step 5: Solve for x
    x = 176,542,188,568.56/513,487.68
  6. Step 6: Final answer
    x = 343,809.98

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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.