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Finding the Fourth Proportional to 323,042.48, 484,588.32 and 98,422.09

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Solution

The fourth proportional to 323,042.48, 484,588.32 and 98,422.09 is: 147,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,042.48 : 484,588.32 = 98,422.09 : x
  2. Step 2: Convert to fraction form
    323,042.48/484,588.32 = 98,422.09/x
  3. Step 3: Cross multiply
    323,042.48x = 484,588.32 × 98,422.09
  4. Step 4: Simplify right side
    323,042.48x = 47,694,194,217.06
  5. Step 5: Solve for x
    x = 47,694,194,217.06/323,042.48
  6. Step 6: Final answer
    x = 147,640.63

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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.