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Finding the Fourth Proportional to 375,620.96, 518,394.16 and 214,500.48

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Solution

The fourth proportional to 375,620.96, 518,394.16 and 214,500.48 is: 296,031.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,620.96 : 518,394.16 = 214,500.48 : x
  2. Step 2: Convert to fraction form
    375,620.96/518,394.16 = 214,500.48/x
  3. Step 3: Cross multiply
    375,620.96x = 518,394.16 × 214,500.48
  4. Step 4: Simplify right side
    375,620.96x = 111,195,796,149.20
  5. Step 5: Solve for x
    x = 111,195,796,149.20/375,620.96
  6. Step 6: Final answer
    x = 296,031.93

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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.