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Finding the Fourth Proportional to 328,872, 493,308 and 107,256

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Solution

The fourth proportional to 328,872, 493,308 and 107,256 is: 160,884

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,872 : 493,308 = 107,256 : x
  2. Step 2: Convert to fraction form
    328,872/493,308 = 107,256/x
  3. Step 3: Cross multiply
    328,872x = 493,308 × 107,256
  4. Step 4: Simplify right side
    328,872x = 52,910,242,848
  5. Step 5: Solve for x
    x = 52,910,242,848/328,872
  6. Step 6: Final answer
    x = 160,884

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.