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Finding the Fourth Proportional to 323,017.64, 484,570.77 and 109,728.29

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Solution

The fourth proportional to 323,017.64, 484,570.77 and 109,728.29 is: 164,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,017.64 : 484,570.77 = 109,728.29 : x
  2. Step 2: Convert to fraction form
    323,017.64/484,570.77 = 109,728.29/x
  3. Step 3: Cross multiply
    323,017.64x = 484,570.77 × 109,728.29
  4. Step 4: Simplify right side
    323,017.64x = 53,171,119,553.23
  5. Step 5: Solve for x
    x = 53,171,119,553.23/323,017.64
  6. Step 6: Final answer
    x = 164,607.48

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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.