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Finding the Fourth Proportional to 363,857.28, 545,884.43 and 206,196.45

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Solution

The fourth proportional to 363,857.28, 545,884.43 and 206,196.45 is: 309,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,857.28 : 545,884.43 = 206,196.45 : x
  2. Step 2: Convert to fraction form
    363,857.28/545,884.43 = 206,196.45/x
  3. Step 3: Cross multiply
    363,857.28x = 545,884.43 × 206,196.45
  4. Step 4: Simplify right side
    363,857.28x = 112,559,430,545.29
  5. Step 5: Solve for x
    x = 112,559,430,545.29/363,857.28
  6. Step 6: Final answer
    x = 309,350.50

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Why These Related Problems?

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