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Finding the Fourth Proportional to 569,546.55, 854,193.92 and 164,650.83

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Solution

The fourth proportional to 569,546.55, 854,193.92 and 164,650.83 is: 246,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,546.55 : 854,193.92 = 164,650.83 : x
  2. Step 2: Convert to fraction form
    569,546.55/854,193.92 = 164,650.83/x
  3. Step 3: Cross multiply
    569,546.55x = 854,193.92 × 164,650.83
  4. Step 4: Simplify right side
    569,546.55x = 140,643,740,288.93
  5. Step 5: Solve for x
    x = 140,643,740,288.93/569,546.55
  6. Step 6: Final answer
    x = 246,939.85

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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.