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Finding the Fourth Proportional to 359,222.28, 495,760.02 and 206,280.51

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Solution

The fourth proportional to 359,222.28, 495,760.02 and 206,280.51 is: 284,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,222.28 : 495,760.02 = 206,280.51 : x
  2. Step 2: Convert to fraction form
    359,222.28/495,760.02 = 206,280.51/x
  3. Step 3: Cross multiply
    359,222.28x = 495,760.02 × 206,280.51
  4. Step 4: Simplify right side
    359,222.28x = 102,265,629,763.21
  5. Step 5: Solve for x
    x = 102,265,629,763.21/359,222.28
  6. Step 6: Final answer
    x = 284,686.21

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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.