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Finding the Fourth Proportional to 367,055.68, 506,575.20 and 205,954.24

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Solution

The fourth proportional to 367,055.68, 506,575.20 and 205,954.24 is: 284,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,055.68 : 506,575.20 = 205,954.24 : x
  2. Step 2: Convert to fraction form
    367,055.68/506,575.20 = 205,954.24/x
  3. Step 3: Cross multiply
    367,055.68x = 506,575.20 × 205,954.24
  4. Step 4: Simplify right side
    367,055.68x = 104,331,310,318.85
  5. Step 5: Solve for x
    x = 104,331,310,318.85/367,055.68
  6. Step 6: Final answer
    x = 284,238.38

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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.