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Finding the Fourth Proportional to 525,772.14, 788,342.33 and 205,542.61

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Solution

The fourth proportional to 525,772.14, 788,342.33 and 205,542.61 is: 308,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,772.14 : 788,342.33 = 205,542.61 : x
  2. Step 2: Convert to fraction form
    525,772.14/788,342.33 = 205,542.61/x
  3. Step 3: Cross multiply
    525,772.14x = 788,342.33 × 205,542.61
  4. Step 4: Simplify right side
    525,772.14x = 162,037,936,139.97
  5. Step 5: Solve for x
    x = 162,037,936,139.97/525,772.14
  6. Step 6: Final answer
    x = 308,190.42

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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.