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Finding the Fourth Proportional to 375,755.10, 518,546.25 and 214,631.52

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Solution

The fourth proportional to 375,755.10, 518,546.25 and 214,631.52 is: 296,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,755.10 : 518,546.25 = 214,631.52 : x
  2. Step 2: Convert to fraction form
    375,755.10/518,546.25 = 214,631.52/x
  3. Step 3: Cross multiply
    375,755.10x = 518,546.25 × 214,631.52
  4. Step 4: Simplify right side
    375,755.10x = 111,296,369,827.80
  5. Step 5: Solve for x
    x = 111,296,369,827.80/375,755.10
  6. Step 6: Final answer
    x = 296,193.90

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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.