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Finding the Fourth Proportional to 359,009.47, 495,452.56 and 206,046.44

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Solution

The fourth proportional to 359,009.47, 495,452.56 and 206,046.44 is: 284,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,009.47 : 495,452.56 = 206,046.44 : x
  2. Step 2: Convert to fraction form
    359,009.47/495,452.56 = 206,046.44/x
  3. Step 3: Cross multiply
    359,009.47x = 495,452.56 × 206,046.44
  4. Step 4: Simplify right side
    359,009.47x = 102,086,233,184.51
  5. Step 5: Solve for x
    x = 102,086,233,184.51/359,009.47
  6. Step 6: Final answer
    x = 284,355.27

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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.