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Finding the Fourth Proportional to 375,759.88, 518,537.91 and 214,611.60

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Solution

The fourth proportional to 375,759.88, 518,537.91 and 214,611.60 is: 296,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,759.88 : 518,537.91 = 214,611.60 : x
  2. Step 2: Convert to fraction form
    375,759.88/518,537.91 = 214,611.60/x
  3. Step 3: Cross multiply
    375,759.88x = 518,537.91 × 214,611.60
  4. Step 4: Simplify right side
    375,759.88x = 111,284,250,525.76
  5. Step 5: Solve for x
    x = 111,284,250,525.76/375,759.88
  6. Step 6: Final answer
    x = 296,157.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.