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Finding the Fourth Proportional to 375,898.68, 518,735.34 and 214,752.42

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Solution

The fourth proportional to 375,898.68, 518,735.34 and 214,752.42 is: 296,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,898.68 : 518,735.34 = 214,752.42 : x
  2. Step 2: Convert to fraction form
    375,898.68/518,735.34 = 214,752.42/x
  3. Step 3: Cross multiply
    375,898.68x = 518,735.34 × 214,752.42
  4. Step 4: Simplify right side
    375,898.68x = 111,399,669,604.52
  5. Step 5: Solve for x
    x = 111,399,669,604.52/375,898.68
  6. Step 6: Final answer
    x = 296,355.58

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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.