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Finding the Fourth Proportional to 376,101.55, 518,893.91 and 214,842.43

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Solution

The fourth proportional to 376,101.55, 518,893.91 and 214,842.43 is: 296,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,101.55 : 518,893.91 = 214,842.43 : x
  2. Step 2: Convert to fraction form
    376,101.55/518,893.91 = 214,842.43/x
  3. Step 3: Cross multiply
    376,101.55x = 518,893.91 × 214,842.43
  4. Step 4: Simplify right side
    376,101.55x = 111,480,428,536.60
  5. Step 5: Solve for x
    x = 111,480,428,536.60/376,101.55
  6. Step 6: Final answer
    x = 296,410.45

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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.