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Finding the Fourth Proportional to 562,458.69, 843,753.57 and 197,608.17

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Solution

The fourth proportional to 562,458.69, 843,753.57 and 197,608.17 is: 296,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,458.69 : 843,753.57 = 197,608.17 : x
  2. Step 2: Convert to fraction form
    562,458.69/843,753.57 = 197,608.17/x
  3. Step 3: Cross multiply
    562,458.69x = 843,753.57 × 197,608.17
  4. Step 4: Simplify right side
    562,458.69x = 166,732,598,898.67
  5. Step 5: Solve for x
    x = 166,732,598,898.67/562,458.69
  6. Step 6: Final answer
    x = 296,435.28

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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.