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Finding the Fourth Proportional to 375,759.13, 518,536.87 and 214,610.85

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Solution

The fourth proportional to 375,759.13, 518,536.87 and 214,610.85 is: 296,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,759.13 : 518,536.87 = 214,610.85 : x
  2. Step 2: Convert to fraction form
    375,759.13/518,536.87 = 214,610.85/x
  3. Step 3: Cross multiply
    375,759.13x = 518,536.87 × 214,610.85
  4. Step 4: Simplify right side
    375,759.13x = 111,283,638,427.04
  5. Step 5: Solve for x
    x = 111,283,638,427.04/375,759.13
  6. Step 6: Final answer
    x = 296,156.85

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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.