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Finding the Fourth Proportional to 367,087.16, 506,585.21 and 205,932.60

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Solution

The fourth proportional to 367,087.16, 506,585.21 and 205,932.60 is: 284,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,087.16 : 506,585.21 = 205,932.60 : x
  2. Step 2: Convert to fraction form
    367,087.16/506,585.21 = 205,932.60/x
  3. Step 3: Cross multiply
    367,087.16x = 506,585.21 × 205,932.60
  4. Step 4: Simplify right side
    367,087.16x = 104,322,408,387.18
  5. Step 5: Solve for x
    x = 104,322,408,387.18/367,087.16
  6. Step 6: Final answer
    x = 284,189.75

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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.