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Finding the Fourth Proportional to 393,716.43, 590,668.71 and 127,477.23

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Solution

The fourth proportional to 393,716.43, 590,668.71 and 127,477.23 is: 191,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,716.43 : 590,668.71 = 127,477.23 : x
  2. Step 2: Convert to fraction form
    393,716.43/590,668.71 = 127,477.23/x
  3. Step 3: Cross multiply
    393,716.43x = 590,668.71 × 127,477.23
  4. Step 4: Simplify right side
    393,716.43x = 75,296,808,305.43
  5. Step 5: Solve for x
    x = 75,296,808,305.43/393,716.43
  6. Step 6: Final answer
    x = 191,246.29

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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.