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Finding the Fourth Proportional to 359,109.22, 495,524.11 and 206,154.09

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Solution

The fourth proportional to 359,109.22, 495,524.11 and 206,154.09 is: 284,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,109.22 : 495,524.11 = 206,154.09 : x
  2. Step 2: Convert to fraction form
    359,109.22/495,524.11 = 206,154.09/x
  3. Step 3: Cross multiply
    359,109.22x = 495,524.11 × 206,154.09
  4. Step 4: Simplify right side
    359,109.22x = 102,154,321,970.11
  5. Step 5: Solve for x
    x = 102,154,321,970.11/359,109.22
  6. Step 6: Final answer
    x = 284,465.88

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1.5x scale

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.