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Finding the Fourth Proportional to 412,760.50, 619,099.28 and 113,271.20

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Solution

The fourth proportional to 412,760.50, 619,099.28 and 113,271.20 is: 169,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,760.50 : 619,099.28 = 113,271.20 : x
  2. Step 2: Convert to fraction form
    412,760.50/619,099.28 = 113,271.20/x
  3. Step 3: Cross multiply
    412,760.50x = 619,099.28 × 113,271.20
  4. Step 4: Simplify right side
    412,760.50x = 70,126,118,364.74
  5. Step 5: Solve for x
    x = 70,126,118,364.74/412,760.50
  6. Step 6: Final answer
    x = 169,895.42

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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.