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Finding the Fourth Proportional to 297,447.49, 410,325.43 and 189,904.46

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Solution

The fourth proportional to 297,447.49, 410,325.43 and 189,904.46 is: 261,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,447.49 : 410,325.43 = 189,904.46 : x
  2. Step 2: Convert to fraction form
    297,447.49/410,325.43 = 189,904.46/x
  3. Step 3: Cross multiply
    297,447.49x = 410,325.43 × 189,904.46
  4. Step 4: Simplify right side
    297,447.49x = 77,922,629,208.42
  5. Step 5: Solve for x
    x = 77,922,629,208.42/297,447.49
  6. Step 6: Final answer
    x = 261,971.04

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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.