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Finding the Fourth Proportional to 598,780.79, 897,838.88 and 199,203.44

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Solution

The fourth proportional to 598,780.79, 897,838.88 and 199,203.44 is: 298,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,780.79 : 897,838.88 = 199,203.44 : x
  2. Step 2: Convert to fraction form
    598,780.79/897,838.88 = 199,203.44/x
  3. Step 3: Cross multiply
    598,780.79x = 897,838.88 × 199,203.44
  4. Step 4: Simplify right side
    598,780.79x = 178,852,593,461.75
  5. Step 5: Solve for x
    x = 178,852,593,461.75/598,780.79
  6. Step 6: Final answer
    x = 298,694.61

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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.