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Finding the Fourth Proportional to 307,007.82, 460,351.35 and 96,589.26

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Solution

The fourth proportional to 307,007.82, 460,351.35 and 96,589.26 is: 144,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,007.82 : 460,351.35 = 96,589.26 : x
  2. Step 2: Convert to fraction form
    307,007.82/460,351.35 = 96,589.26/x
  3. Step 3: Cross multiply
    307,007.82x = 460,351.35 × 96,589.26
  4. Step 4: Simplify right side
    307,007.82x = 44,464,996,236.50
  5. Step 5: Solve for x
    x = 44,464,996,236.50/307,007.82
  6. Step 6: Final answer
    x = 144,833.43

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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.