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Finding the Fourth Proportional to 397,814.82, 596,777.27 and 127,950.62

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Solution

The fourth proportional to 397,814.82, 596,777.27 and 127,950.62 is: 191,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,814.82 : 596,777.27 = 127,950.62 : x
  2. Step 2: Convert to fraction form
    397,814.82/596,777.27 = 127,950.62/x
  3. Step 3: Cross multiply
    397,814.82x = 596,777.27 × 127,950.62
  4. Step 4: Simplify right side
    397,814.82x = 76,358,021,698.41
  5. Step 5: Solve for x
    x = 76,358,021,698.41/397,814.82
  6. Step 6: Final answer
    x = 191,943.63

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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.