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Finding the Fourth Proportional to 329,771.48, 455,072.32 and 178,865.24

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Solution

The fourth proportional to 329,771.48, 455,072.32 and 178,865.24 is: 246,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,771.48 : 455,072.32 = 178,865.24 : x
  2. Step 2: Convert to fraction form
    329,771.48/455,072.32 = 178,865.24/x
  3. Step 3: Cross multiply
    329,771.48x = 455,072.32 × 178,865.24
  4. Step 4: Simplify right side
    329,771.48x = 81,396,619,734.16
  5. Step 5: Solve for x
    x = 81,396,619,734.16/329,771.48
  6. Step 6: Final answer
    x = 246,827.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.