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Finding the Fourth Proportional to 363,053.80, 543,414.30 and 258,077.80

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Solution

The fourth proportional to 363,053.80, 543,414.30 and 258,077.80 is: 386,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,053.80 : 543,414.30 = 258,077.80 : x
  2. Step 2: Convert to fraction form
    363,053.80/543,414.30 = 258,077.80/x
  3. Step 3: Cross multiply
    363,053.80x = 543,414.30 × 258,077.80
  4. Step 4: Simplify right side
    363,053.80x = 140,243,167,032.54
  5. Step 5: Solve for x
    x = 140,243,167,032.54/363,053.80
  6. Step 6: Final answer
    x = 386,287.56

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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.