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Finding the Fourth Proportional to 315,310.46, 434,389.11 and 219,644.06

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Solution

The fourth proportional to 315,310.46, 434,389.11 and 219,644.06 is: 302,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,310.46 : 434,389.11 = 219,644.06 : x
  2. Step 2: Convert to fraction form
    315,310.46/434,389.11 = 219,644.06/x
  3. Step 3: Cross multiply
    315,310.46x = 434,389.11 × 219,644.06
  4. Step 4: Simplify right side
    315,310.46x = 95,410,987,740.19
  5. Step 5: Solve for x
    x = 95,410,987,740.19/315,310.46
  6. Step 6: Final answer
    x = 302,593.79

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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.