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Finding the Fourth Proportional to 362,739.61, 543,649.82 and 205,057.69

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Solution

The fourth proportional to 362,739.61, 543,649.82 and 205,057.69 is: 307,326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,739.61 : 543,649.82 = 205,057.69 : x
  2. Step 2: Convert to fraction form
    362,739.61/543,649.82 = 205,057.69/x
  3. Step 3: Cross multiply
    362,739.61x = 543,649.82 × 205,057.69
  4. Step 4: Simplify right side
    362,739.61x = 111,479,575,232.83
  5. Step 5: Solve for x
    x = 111,479,575,232.83/362,739.61
  6. Step 6: Final answer
    x = 307,326.72

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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.