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Finding the Fourth Proportional to 307,009.82, 460,354.34 and 96,591.26

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Solution

The fourth proportional to 307,009.82, 460,354.34 and 96,591.26 is: 144,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,009.82 : 460,354.34 = 96,591.26 : x
  2. Step 2: Convert to fraction form
    307,009.82/460,354.34 = 96,591.26/x
  3. Step 3: Cross multiply
    307,009.82x = 460,354.34 × 96,591.26
  4. Step 4: Simplify right side
    307,009.82x = 44,466,205,747.07
  5. Step 5: Solve for x
    x = 44,466,205,747.07/307,009.82
  6. Step 6: Final answer
    x = 144,836.43

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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.