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Finding the Fourth Proportional to 383,098.96, 528,676.55 and 222,047.42

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Solution

The fourth proportional to 383,098.96, 528,676.55 and 222,047.42 is: 306,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,098.96 : 528,676.55 = 222,047.42 : x
  2. Step 2: Convert to fraction form
    383,098.96/528,676.55 = 222,047.42/x
  3. Step 3: Cross multiply
    383,098.96x = 528,676.55 × 222,047.42
  4. Step 4: Simplify right side
    383,098.96x = 117,391,265,818.81
  5. Step 5: Solve for x
    x = 117,391,265,818.81/383,098.96
  6. Step 6: Final answer
    x = 306,425.44

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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.