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Finding the Fourth Proportional to 380,865.72, 525,586.86 and 211,098.36

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Solution

The fourth proportional to 380,865.72, 525,586.86 and 211,098.36 is: 291,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,865.72 : 525,586.86 = 211,098.36 : x
  2. Step 2: Convert to fraction form
    380,865.72/525,586.86 = 211,098.36/x
  3. Step 3: Cross multiply
    380,865.72x = 525,586.86 × 211,098.36
  4. Step 4: Simplify right side
    380,865.72x = 110,950,524,183.55
  5. Step 5: Solve for x
    x = 110,950,524,183.55/380,865.72
  6. Step 6: Final answer
    x = 291,311.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.