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Finding the Fourth Proportional to 367,677.64, 507,375.66 and 206,539.48

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Solution

The fourth proportional to 367,677.64, 507,375.66 and 206,539.48 is: 285,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,677.64 : 507,375.66 = 206,539.48 : x
  2. Step 2: Convert to fraction form
    367,677.64/507,375.66 = 206,539.48/x
  3. Step 3: Cross multiply
    367,677.64x = 507,375.66 × 206,539.48
  4. Step 4: Simplify right side
    367,677.64x = 104,793,104,981.06
  5. Step 5: Solve for x
    x = 104,793,104,981.06/367,677.64
  6. Step 6: Final answer
    x = 285,013.54

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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.