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Finding the Fourth Proportional to 367,759.44, 507,510 and 206,621.28

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Solution

The fourth proportional to 367,759.44, 507,510 and 206,621.28 is: 285,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,759.44 : 507,510 = 206,621.28 : x
  2. Step 2: Convert to fraction form
    367,759.44/507,510 = 206,621.28/x
  3. Step 3: Cross multiply
    367,759.44x = 507,510 × 206,621.28
  4. Step 4: Simplify right side
    367,759.44x = 104,862,365,812.80
  5. Step 5: Solve for x
    x = 104,862,365,812.80/367,759.44
  6. Step 6: Final answer
    x = 285,138.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.