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Finding the Fourth Proportional to 359,107.22, 495,521.35 and 206,152.09

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Solution

The fourth proportional to 359,107.22, 495,521.35 and 206,152.09 is: 284,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,107.22 : 495,521.35 = 206,152.09 : x
  2. Step 2: Convert to fraction form
    359,107.22/495,521.35 = 206,152.09/x
  3. Step 3: Cross multiply
    359,107.22x = 495,521.35 × 206,152.09
  4. Step 4: Simplify right side
    359,107.22x = 102,152,760,187.94
  5. Step 5: Solve for x
    x = 102,152,760,187.94/359,107.22
  6. Step 6: Final answer
    x = 284,463.12

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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.