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Finding the Fourth Proportional to 299,786.45, 413,728.90 and 170,730.39

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Solution

The fourth proportional to 299,786.45, 413,728.90 and 170,730.39 is: 235,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,786.45 : 413,728.90 = 170,730.39 : x
  2. Step 2: Convert to fraction form
    299,786.45/413,728.90 = 170,730.39/x
  3. Step 3: Cross multiply
    299,786.45x = 413,728.90 × 170,730.39
  4. Step 4: Simplify right side
    299,786.45x = 70,636,096,024.45
  5. Step 5: Solve for x
    x = 70,636,096,024.45/299,786.45
  6. Step 6: Final answer
    x = 235,621.37

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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.