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Finding the Fourth Proportional to 217,209.40, 325,814.10 and 209,951.80

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Solution

The fourth proportional to 217,209.40, 325,814.10 and 209,951.80 is: 314,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,209.40 : 325,814.10 = 209,951.80 : x
  2. Step 2: Convert to fraction form
    217,209.40/325,814.10 = 209,951.80/x
  3. Step 3: Cross multiply
    217,209.40x = 325,814.10 × 209,951.80
  4. Step 4: Simplify right side
    217,209.40x = 68,405,256,760.38
  5. Step 5: Solve for x
    x = 68,405,256,760.38/217,209.40
  6. Step 6: Final answer
    x = 314,927.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.