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Finding the Fourth Proportional to 375,389.92, 518,046.48 and 214,241.76

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Solution

The fourth proportional to 375,389.92, 518,046.48 and 214,241.76 is: 295,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,389.92 : 518,046.48 = 214,241.76 : x
  2. Step 2: Convert to fraction form
    375,389.92/518,046.48 = 214,241.76/x
  3. Step 3: Cross multiply
    375,389.92x = 518,046.48 × 214,241.76
  4. Step 4: Simplify right side
    375,389.92x = 110,987,189,637.01
  5. Step 5: Solve for x
    x = 110,987,189,637.01/375,389.92
  6. Step 6: Final answer
    x = 295,658.42

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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.