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Finding the Fourth Proportional to 383,201.56, 528,818.30 and 222,149.98

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Solution

The fourth proportional to 383,201.56, 528,818.30 and 222,149.98 is: 306,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,201.56 : 528,818.30 = 222,149.98 : x
  2. Step 2: Convert to fraction form
    383,201.56/528,818.30 = 222,149.98/x
  3. Step 3: Cross multiply
    383,201.56x = 528,818.30 × 222,149.98
  4. Step 4: Simplify right side
    383,201.56x = 117,476,971,013.79
  5. Step 5: Solve for x
    x = 117,476,971,013.79/383,201.56
  6. Step 6: Final answer
    x = 306,567.05

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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.