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Finding the Fourth Proportional to 389,833.88, 537,970.75 and 220,078.94

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Solution

The fourth proportional to 389,833.88, 537,970.75 and 220,078.94 is: 303,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,833.88 : 537,970.75 = 220,078.94 : x
  2. Step 2: Convert to fraction form
    389,833.88/537,970.75 = 220,078.94/x
  3. Step 3: Cross multiply
    389,833.88x = 537,970.75 × 220,078.94
  4. Step 4: Simplify right side
    389,833.88x = 118,396,029,170.95
  5. Step 5: Solve for x
    x = 118,396,029,170.95/389,833.88
  6. Step 6: Final answer
    x = 303,708.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.