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Finding the Fourth Proportional to 359,321.94, 495,845.91 and 206,253.81

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Solution

The fourth proportional to 359,321.94, 495,845.91 and 206,253.81 is: 284,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,321.94 : 495,845.91 = 206,253.81 : x
  2. Step 2: Convert to fraction form
    359,321.94/495,845.91 = 206,253.81/x
  3. Step 3: Cross multiply
    359,321.94x = 495,845.91 × 206,253.81
  4. Step 4: Simplify right side
    359,321.94x = 102,270,108,110.42
  5. Step 5: Solve for x
    x = 102,270,108,110.42/359,321.94
  6. Step 6: Final answer
    x = 284,619.71

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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.