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Finding the Fourth Proportional to 359,247.70, 495,795 and 206,305.93

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Solution

The fourth proportional to 359,247.70, 495,795 and 206,305.93 is: 284,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,247.70 : 495,795 = 206,305.93 : x
  2. Step 2: Convert to fraction form
    359,247.70/495,795 = 206,305.93/x
  3. Step 3: Cross multiply
    359,247.70x = 495,795 × 206,305.93
  4. Step 4: Simplify right side
    359,247.70x = 102,285,448,564.35
  5. Step 5: Solve for x
    x = 102,285,448,564.35/359,247.70
  6. Step 6: Final answer
    x = 284,721.23

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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.