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Finding the Fourth Proportional to 422,832.79, 634,152.14 and 252,102.81

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Solution

The fourth proportional to 422,832.79, 634,152.14 and 252,102.81 is: 378,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,832.79 : 634,152.14 = 252,102.81 : x
  2. Step 2: Convert to fraction form
    422,832.79/634,152.14 = 252,102.81/x
  3. Step 3: Cross multiply
    422,832.79x = 634,152.14 × 252,102.81
  4. Step 4: Simplify right side
    422,832.79x = 159,871,538,524.46
  5. Step 5: Solve for x
    x = 159,871,538,524.46/422,832.79
  6. Step 6: Final answer
    x = 378,096.36

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Why These Related Problems?

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