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Finding the Fourth Proportional to 375,926.46, 518,730.72 and 214,791.95

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Solution

The fourth proportional to 375,926.46, 518,730.72 and 214,791.95 is: 296,385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,926.46 : 518,730.72 = 214,791.95 : x
  2. Step 2: Convert to fraction form
    375,926.46/518,730.72 = 214,791.95/x
  3. Step 3: Cross multiply
    375,926.46x = 518,730.72 × 214,791.95
  4. Step 4: Simplify right side
    375,926.46x = 111,419,180,280.05
  5. Step 5: Solve for x
    x = 111,419,180,280.05/375,926.46
  6. Step 6: Final answer
    x = 296,385.58

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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.