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Finding the Fourth Proportional to 357,691.30, 493,641.46 and 204,777.46

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Solution

The fourth proportional to 357,691.30, 493,641.46 and 204,777.46 is: 282,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,691.30 : 493,641.46 = 204,777.46 : x
  2. Step 2: Convert to fraction form
    357,691.30/493,641.46 = 204,777.46/x
  3. Step 3: Cross multiply
    357,691.30x = 493,641.46 × 204,777.46
  4. Step 4: Simplify right side
    357,691.30x = 101,086,642,583.44
  5. Step 5: Solve for x
    x = 101,086,642,583.44/357,691.30
  6. Step 6: Final answer
    x = 282,608.62

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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.