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Finding the Fourth Proportional to 347,824.86, 520,574.76 and 198,024.94

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Solution

The fourth proportional to 347,824.86, 520,574.76 and 198,024.94 is: 296,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,824.86 : 520,574.76 = 198,024.94 : x
  2. Step 2: Convert to fraction form
    347,824.86/520,574.76 = 198,024.94/x
  3. Step 3: Cross multiply
    347,824.86x = 520,574.76 × 198,024.94
  4. Step 4: Simplify right side
    347,824.86x = 103,086,782,021.52
  5. Step 5: Solve for x
    x = 103,086,782,021.52/347,824.86
  6. Step 6: Final answer
    x = 296,375.54

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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.