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Finding the Fourth Proportional to 357,371.44, 493,172.58 and 206,468.44

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Solution

The fourth proportional to 357,371.44, 493,172.58 and 206,468.44 is: 284,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,371.44 : 493,172.58 = 206,468.44 : x
  2. Step 2: Convert to fraction form
    357,371.44/493,172.58 = 206,468.44/x
  3. Step 3: Cross multiply
    357,371.44x = 493,172.58 × 206,468.44
  4. Step 4: Simplify right side
    357,371.44x = 101,824,572,784.70
  5. Step 5: Solve for x
    x = 101,824,572,784.70/357,371.44
  6. Step 6: Final answer
    x = 284,926.44

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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.