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Finding the Fourth Proportional to 328,408, 453,202.92 and 177,505

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Solution

The fourth proportional to 328,408, 453,202.92 and 177,505 is: 244,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,408 : 453,202.92 = 177,505 : x
  2. Step 2: Convert to fraction form
    328,408/453,202.92 = 177,505/x
  3. Step 3: Cross multiply
    328,408x = 453,202.92 × 177,505
  4. Step 4: Simplify right side
    328,408x = 80,445,784,314.60
  5. Step 5: Solve for x
    x = 80,445,784,314.60/328,408
  6. Step 6: Final answer
    x = 244,956.84

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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.