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Finding the Fourth Proportional to 285,133.68, 427,849.44 and 206,893.68

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Solution

The fourth proportional to 285,133.68, 427,849.44 and 206,893.68 is: 310,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,133.68 : 427,849.44 = 206,893.68 : x
  2. Step 2: Convert to fraction form
    285,133.68/427,849.44 = 206,893.68/x
  3. Step 3: Cross multiply
    285,133.68x = 427,849.44 × 206,893.68
  4. Step 4: Simplify right side
    285,133.68x = 88,519,345,127.54
  5. Step 5: Solve for x
    x = 88,519,345,127.54/285,133.68
  6. Step 6: Final answer
    x = 310,448.58

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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.