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Finding the Fourth Proportional to 359,126.36, 495,594.40 and 206,174.46

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Solution

The fourth proportional to 359,126.36, 495,594.40 and 206,174.46 is: 284,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,126.36 : 495,594.40 = 206,174.46 : x
  2. Step 2: Convert to fraction form
    359,126.36/495,594.40 = 206,174.46/x
  3. Step 3: Cross multiply
    359,126.36x = 495,594.40 × 206,174.46
  4. Step 4: Simplify right side
    359,126.36x = 102,178,909,528.64
  5. Step 5: Solve for x
    x = 102,178,909,528.64/359,126.36
  6. Step 6: Final answer
    x = 284,520.77

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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.