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Finding the Fourth Proportional to 429,395.43, 643,112.11 and 204,913.50

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Solution

The fourth proportional to 429,395.43, 643,112.11 and 204,913.50 is: 306,902.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,395.43 : 643,112.11 = 204,913.50 : x
  2. Step 2: Convert to fraction form
    429,395.43/643,112.11 = 204,913.50/x
  3. Step 3: Cross multiply
    429,395.43x = 643,112.11 × 204,913.50
  4. Step 4: Simplify right side
    429,395.43x = 131,782,353,352.49
  5. Step 5: Solve for x
    x = 131,782,353,352.49/429,395.43
  6. Step 6: Final answer
    x = 306,902.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.