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Finding the Fourth Proportional to 377,424.26, 565,707.19 and 197,231.86

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Solution

The fourth proportional to 377,424.26, 565,707.19 and 197,231.86 is: 295,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,424.26 : 565,707.19 = 197,231.86 : x
  2. Step 2: Convert to fraction form
    377,424.26/565,707.19 = 197,231.86/x
  3. Step 3: Cross multiply
    377,424.26x = 565,707.19 × 197,231.86
  4. Step 4: Simplify right side
    377,424.26x = 111,575,481,882.94
  5. Step 5: Solve for x
    x = 111,575,481,882.94/377,424.26
  6. Step 6: Final answer
    x = 295,623.50

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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.