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Finding the Fourth Proportional to 397,759.44, 596,619.72 and 148,422

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Solution

The fourth proportional to 397,759.44, 596,619.72 and 148,422 is: 222,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,759.44 : 596,619.72 = 148,422 : x
  2. Step 2: Convert to fraction form
    397,759.44/596,619.72 = 148,422/x
  3. Step 3: Cross multiply
    397,759.44x = 596,619.72 × 148,422
  4. Step 4: Simplify right side
    397,759.44x = 88,551,492,081.84
  5. Step 5: Solve for x
    x = 88,551,492,081.84/397,759.44
  6. Step 6: Final answer
    x = 222,625.75

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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.