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Finding the Fourth Proportional to 539,963.94, 809,968.05 and 185,221.92

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Solution

The fourth proportional to 539,963.94, 809,968.05 and 185,221.92 is: 277,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,963.94 : 809,968.05 = 185,221.92 : x
  2. Step 2: Convert to fraction form
    539,963.94/809,968.05 = 185,221.92/x
  3. Step 3: Cross multiply
    539,963.94x = 809,968.05 × 185,221.92
  4. Step 4: Simplify right side
    539,963.94x = 150,023,837,359.66
  5. Step 5: Solve for x
    x = 150,023,837,359.66/539,963.94
  6. Step 6: Final answer
    x = 277,840.47

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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.