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Finding the Fourth Proportional to 414,222.58, 621,335.31 and 126,037

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Solution

The fourth proportional to 414,222.58, 621,335.31 and 126,037 is: 189,055.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,222.58 : 621,335.31 = 126,037 : x
  2. Step 2: Convert to fraction form
    414,222.58/621,335.31 = 126,037/x
  3. Step 3: Cross multiply
    414,222.58x = 621,335.31 × 126,037
  4. Step 4: Simplify right side
    414,222.58x = 78,311,238,466.47
  5. Step 5: Solve for x
    x = 78,311,238,466.47/414,222.58
  6. Step 6: Final answer
    x = 189,055.94

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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.