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Finding the Fourth Proportional to 277,651.68, 416,469.84 and 77,973.60

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Solution

The fourth proportional to 277,651.68, 416,469.84 and 77,973.60 is: 116,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,651.68 : 416,469.84 = 77,973.60 : x
  2. Step 2: Convert to fraction form
    277,651.68/416,469.84 = 77,973.60/x
  3. Step 3: Cross multiply
    277,651.68x = 416,469.84 × 77,973.60
  4. Step 4: Simplify right side
    277,651.68x = 32,473,652,716.22
  5. Step 5: Solve for x
    x = 32,473,652,716.22/277,651.68
  6. Step 6: Final answer
    x = 116,958.24

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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.