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Finding the Fourth Proportional to 323,052.96, 484,634.80 and 109,798.32

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Solution

The fourth proportional to 323,052.96, 484,634.80 and 109,798.32 is: 164,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,052.96 : 484,634.80 = 109,798.32 : x
  2. Step 2: Convert to fraction form
    323,052.96/484,634.80 = 109,798.32/x
  3. Step 3: Cross multiply
    323,052.96x = 484,634.80 × 109,798.32
  4. Step 4: Simplify right side
    323,052.96x = 53,212,086,853.54
  5. Step 5: Solve for x
    x = 53,212,086,853.54/323,052.96
  6. Step 6: Final answer
    x = 164,716.30

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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.