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Finding the Fourth Proportional to 277,322.88, 416,093.76 and 144,286.56

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Solution

The fourth proportional to 277,322.88, 416,093.76 and 144,286.56 is: 216,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,322.88 : 416,093.76 = 144,286.56 : x
  2. Step 2: Convert to fraction form
    277,322.88/416,093.76 = 144,286.56/x
  3. Step 3: Cross multiply
    277,322.88x = 416,093.76 × 144,286.56
  4. Step 4: Simplify right side
    277,322.88x = 60,036,737,267.87
  5. Step 5: Solve for x
    x = 60,036,737,267.87/277,322.88
  6. Step 6: Final answer
    x = 216,486.78

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1.5x scale

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.