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Finding the Fourth Proportional to 359,152.59, 495,630.39 and 206,200.64

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Solution

The fourth proportional to 359,152.59, 495,630.39 and 206,200.64 is: 284,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,152.59 : 495,630.39 = 206,200.64 : x
  2. Step 2: Convert to fraction form
    359,152.59/495,630.39 = 206,200.64/x
  3. Step 3: Cross multiply
    359,152.59x = 495,630.39 × 206,200.64
  4. Step 4: Simplify right side
    359,152.59x = 102,199,303,621.45
  5. Step 5: Solve for x
    x = 102,199,303,621.45/359,152.59
  6. Step 6: Final answer
    x = 284,556.78

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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.