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Finding the Fourth Proportional to 367,431.57, 507,042.55 and 206,293.41

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Solution

The fourth proportional to 367,431.57, 507,042.55 and 206,293.41 is: 284,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,431.57 : 507,042.55 = 206,293.41 : x
  2. Step 2: Convert to fraction form
    367,431.57/507,042.55 = 206,293.41/x
  3. Step 3: Cross multiply
    367,431.57x = 507,042.55 × 206,293.41
  4. Step 4: Simplify right side
    367,431.57x = 104,599,535,486.41
  5. Step 5: Solve for x
    x = 104,599,535,486.41/367,431.57
  6. Step 6: Final answer
    x = 284,677.60

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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.