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Finding the Fourth Proportional to 277,475.40, 416,213.10 and 206,616.60

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Solution

The fourth proportional to 277,475.40, 416,213.10 and 206,616.60 is: 309,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,475.40 : 416,213.10 = 206,616.60 : x
  2. Step 2: Convert to fraction form
    277,475.40/416,213.10 = 206,616.60/x
  3. Step 3: Cross multiply
    277,475.40x = 416,213.10 × 206,616.60
  4. Step 4: Simplify right side
    277,475.40x = 85,996,535,597.46
  5. Step 5: Solve for x
    x = 85,996,535,597.46/277,475.40
  6. Step 6: Final answer
    x = 309,924.90

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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.