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Finding the Fourth Proportional to 379,148.34, 523,227.24 and 207,061.86

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Solution

The fourth proportional to 379,148.34, 523,227.24 and 207,061.86 is: 285,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,148.34 : 523,227.24 = 207,061.86 : x
  2. Step 2: Convert to fraction form
    379,148.34/523,227.24 = 207,061.86/x
  3. Step 3: Cross multiply
    379,148.34x = 523,227.24 × 207,061.86
  4. Step 4: Simplify right side
    379,148.34x = 108,340,405,517.07
  5. Step 5: Solve for x
    x = 108,340,405,517.07/379,148.34
  6. Step 6: Final answer
    x = 285,746.75

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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.