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Finding the Fourth Proportional to 357,850.80, 493,835.13 and 204,891.33

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Solution

The fourth proportional to 357,850.80, 493,835.13 and 204,891.33 is: 282,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,850.80 : 493,835.13 = 204,891.33 : x
  2. Step 2: Convert to fraction form
    357,850.80/493,835.13 = 204,891.33/x
  3. Step 3: Cross multiply
    357,850.80x = 493,835.13 × 204,891.33
  4. Step 4: Simplify right side
    357,850.80x = 101,182,537,541.91
  5. Step 5: Solve for x
    x = 101,182,537,541.91/357,850.80
  6. Step 6: Final answer
    x = 282,750.63

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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.