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Finding the Fourth Proportional to 375,306.96, 517,794.99 and 214,046.04

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Solution

The fourth proportional to 375,306.96, 517,794.99 and 214,046.04 is: 295,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,306.96 : 517,794.99 = 214,046.04 : x
  2. Step 2: Convert to fraction form
    375,306.96/517,794.99 = 214,046.04/x
  3. Step 3: Cross multiply
    375,306.96x = 517,794.99 × 214,046.04
  4. Step 4: Simplify right side
    375,306.96x = 110,831,967,141.34
  5. Step 5: Solve for x
    x = 110,831,967,141.34/375,306.96
  6. Step 6: Final answer
    x = 295,310.18

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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.