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Finding the Fourth Proportional to 589,841.94, 884,760.17 and 185,063.78

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Solution

The fourth proportional to 589,841.94, 884,760.17 and 185,063.78 is: 277,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,841.94 : 884,760.17 = 185,063.78 : x
  2. Step 2: Convert to fraction form
    589,841.94/884,760.17 = 185,063.78/x
  3. Step 3: Cross multiply
    589,841.94x = 884,760.17 × 185,063.78
  4. Step 4: Simplify right side
    589,841.94x = 163,737,061,453.64
  5. Step 5: Solve for x
    x = 163,737,061,453.64/589,841.94
  6. Step 6: Final answer
    x = 277,594.81

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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.