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Finding the Fourth Proportional to 534,604.32, 801,809.58 and 214,743.30

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Solution

The fourth proportional to 534,604.32, 801,809.58 and 214,743.30 is: 322,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,604.32 : 801,809.58 = 214,743.30 : x
  2. Step 2: Convert to fraction form
    534,604.32/801,809.58 = 214,743.30/x
  3. Step 3: Cross multiply
    534,604.32x = 801,809.58 × 214,743.30
  4. Step 4: Simplify right side
    534,604.32x = 172,183,235,180.81
  5. Step 5: Solve for x
    x = 172,183,235,180.81/534,604.32
  6. Step 6: Final answer
    x = 322,076.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.