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Finding the Fourth Proportional to 277,524.20, 416,286.30 and 202,291.40

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Solution

The fourth proportional to 277,524.20, 416,286.30 and 202,291.40 is: 303,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,524.20 : 416,286.30 = 202,291.40 : x
  2. Step 2: Convert to fraction form
    277,524.20/416,286.30 = 202,291.40/x
  3. Step 3: Cross multiply
    277,524.20x = 416,286.30 × 202,291.40
  4. Step 4: Simplify right side
    277,524.20x = 84,211,138,427.82
  5. Step 5: Solve for x
    x = 84,211,138,427.82/277,524.20
  6. Step 6: Final answer
    x = 303,437.10

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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.