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Finding the Fourth Proportional to 569,796.04, 854,314.40 and 313,749.22

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Solution

The fourth proportional to 569,796.04, 854,314.40 and 313,749.22 is: 470,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,796.04 : 854,314.40 = 313,749.22 : x
  2. Step 2: Convert to fraction form
    569,796.04/854,314.40 = 313,749.22/x
  3. Step 3: Cross multiply
    569,796.04x = 854,314.40 × 313,749.22
  4. Step 4: Simplify right side
    569,796.04x = 268,040,476,634.77
  5. Step 5: Solve for x
    x = 268,040,476,634.77/569,796.04
  6. Step 6: Final answer
    x = 470,414.78

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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.