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Finding the Fourth Proportional to 534,662.82, 801,995.31 and 219,063.06

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Solution

The fourth proportional to 534,662.82, 801,995.31 and 219,063.06 is: 328,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,662.82 : 801,995.31 = 219,063.06 : x
  2. Step 2: Convert to fraction form
    534,662.82/801,995.31 = 219,063.06/x
  3. Step 3: Cross multiply
    534,662.82x = 801,995.31 × 219,063.06
  4. Step 4: Simplify right side
    534,662.82x = 175,687,546,714.25
  5. Step 5: Solve for x
    x = 175,687,546,714.25/534,662.82
  6. Step 6: Final answer
    x = 328,595.03

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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.