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Finding the Fourth Proportional to 412,748.86, 619,124.08 and 113,233.54

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Solution

The fourth proportional to 412,748.86, 619,124.08 and 113,233.54 is: 169,850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,748.86 : 619,124.08 = 113,233.54 : x
  2. Step 2: Convert to fraction form
    412,748.86/619,124.08 = 113,233.54/x
  3. Step 3: Cross multiply
    412,748.86x = 619,124.08 × 113,233.54
  4. Step 4: Simplify right side
    412,748.86x = 70,105,611,277.64
  5. Step 5: Solve for x
    x = 70,105,611,277.64/412,748.86
  6. Step 6: Final answer
    x = 169,850.53

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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.