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Finding the Fourth Proportional to 323,612.88, 446,587.82 and 180,381.97

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Solution

The fourth proportional to 323,612.88, 446,587.82 and 180,381.97 is: 248,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,612.88 : 446,587.82 = 180,381.97 : x
  2. Step 2: Convert to fraction form
    323,612.88/446,587.82 = 180,381.97/x
  3. Step 3: Cross multiply
    323,612.88x = 446,587.82 × 180,381.97
  4. Step 4: Simplify right side
    323,612.88x = 80,556,390,749.61
  5. Step 5: Solve for x
    x = 80,556,390,749.61/323,612.88
  6. Step 6: Final answer
    x = 248,928.26

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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.