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Finding the Fourth Proportional to 375,688.66, 518,447.41 and 205,922.42

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Solution

The fourth proportional to 375,688.66, 518,447.41 and 205,922.42 is: 284,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,688.66 : 518,447.41 = 205,922.42 : x
  2. Step 2: Convert to fraction form
    375,688.66/518,447.41 = 205,922.42/x
  3. Step 3: Cross multiply
    375,688.66x = 518,447.41 × 205,922.42
  4. Step 4: Simplify right side
    375,688.66x = 106,759,945,309.93
  5. Step 5: Solve for x
    x = 106,759,945,309.93/375,688.66
  6. Step 6: Final answer
    x = 284,171.33

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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.