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Finding the Fourth Proportional to 364,835.80, 546,087.30 and 259,859.80

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Solution

The fourth proportional to 364,835.80, 546,087.30 and 259,859.80 is: 388,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,835.80 : 546,087.30 = 259,859.80 : x
  2. Step 2: Convert to fraction form
    364,835.80/546,087.30 = 259,859.80/x
  3. Step 3: Cross multiply
    364,835.80x = 546,087.30 × 259,859.80
  4. Step 4: Simplify right side
    364,835.80x = 141,906,136,560.54
  5. Step 5: Solve for x
    x = 141,906,136,560.54/364,835.80
  6. Step 6: Final answer
    x = 388,958.91

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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.