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Finding the Fourth Proportional to 277,404.21, 416,237.91 and 192,146.14

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Solution

The fourth proportional to 277,404.21, 416,237.91 and 192,146.14 is: 288,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,404.21 : 416,237.91 = 192,146.14 : x
  2. Step 2: Convert to fraction form
    277,404.21/416,237.91 = 192,146.14/x
  3. Step 3: Cross multiply
    277,404.21x = 416,237.91 × 192,146.14
  4. Step 4: Simplify right side
    277,404.21x = 79,978,507,527.92
  5. Step 5: Solve for x
    x = 79,978,507,527.92/277,404.21
  6. Step 6: Final answer
    x = 288,310.36

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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.