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Finding the Fourth Proportional to 534,735.40, 801,714.30 and 219,029.80

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Solution

The fourth proportional to 534,735.40, 801,714.30 and 219,029.80 is: 328,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,735.40 : 801,714.30 = 219,029.80 : x
  2. Step 2: Convert to fraction form
    534,735.40/801,714.30 = 219,029.80/x
  3. Step 3: Cross multiply
    534,735.40x = 801,714.30 × 219,029.80
  4. Step 4: Simplify right side
    534,735.40x = 175,599,322,786.14
  5. Step 5: Solve for x
    x = 175,599,322,786.14/534,735.40
  6. Step 6: Final answer
    x = 328,385.45

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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.