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Finding the Fourth Proportional to 513,612.80, 770,419.20 and 345,651.20

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Solution

The fourth proportional to 513,612.80, 770,419.20 and 345,651.20 is: 518,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,612.80 : 770,419.20 = 345,651.20 : x
  2. Step 2: Convert to fraction form
    513,612.80/770,419.20 = 345,651.20/x
  3. Step 3: Cross multiply
    513,612.80x = 770,419.20 × 345,651.20
  4. Step 4: Simplify right side
    513,612.80x = 266,296,320,983.04
  5. Step 5: Solve for x
    x = 266,296,320,983.04/513,612.80
  6. Step 6: Final answer
    x = 518,476.80

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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.