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Finding the Fourth Proportional to 294,509.39, 441,764.01 and 84,147.32

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Solution

The fourth proportional to 294,509.39, 441,764.01 and 84,147.32 is: 126,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,509.39 : 441,764.01 = 84,147.32 : x
  2. Step 2: Convert to fraction form
    294,509.39/441,764.01 = 84,147.32/x
  3. Step 3: Cross multiply
    294,509.39x = 441,764.01 × 84,147.32
  4. Step 4: Simplify right side
    294,509.39x = 37,173,258,618.36
  5. Step 5: Solve for x
    x = 37,173,258,618.36/294,509.39
  6. Step 6: Final answer
    x = 126,220.96

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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.