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Finding the Fourth Proportional to 359,262.95, 495,760.19 and 206,193.38

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Solution

The fourth proportional to 359,262.95, 495,760.19 and 206,193.38 is: 284,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,262.95 : 495,760.19 = 206,193.38 : x
  2. Step 2: Convert to fraction form
    359,262.95/495,760.19 = 206,193.38/x
  3. Step 3: Cross multiply
    359,262.95x = 495,760.19 × 206,193.38
  4. Step 4: Simplify right side
    359,262.95x = 102,222,465,735.77
  5. Step 5: Solve for x
    x = 102,222,465,735.77/359,262.95
  6. Step 6: Final answer
    x = 284,533.84

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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.