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Finding the Fourth Proportional to 589,680, 884,520 and 195,696

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Solution

The fourth proportional to 589,680, 884,520 and 195,696 is: 293,544

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,680 : 884,520 = 195,696 : x
  2. Step 2: Convert to fraction form
    589,680/884,520 = 195,696/x
  3. Step 3: Cross multiply
    589,680x = 884,520 × 195,696
  4. Step 4: Simplify right side
    589,680x = 173,097,025,920
  5. Step 5: Solve for x
    x = 173,097,025,920/589,680
  6. Step 6: Final answer
    x = 293,544

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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.