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Finding the Fourth Proportional to 323,476.96, 446,392.30 and 180,233.94

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Solution

The fourth proportional to 323,476.96, 446,392.30 and 180,233.94 is: 248,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,476.96 : 446,392.30 = 180,233.94 : x
  2. Step 2: Convert to fraction form
    323,476.96/446,392.30 = 180,233.94/x
  3. Step 3: Cross multiply
    323,476.96x = 446,392.30 × 180,233.94
  4. Step 4: Simplify right side
    323,476.96x = 80,455,043,014.66
  5. Step 5: Solve for x
    x = 80,455,043,014.66/323,476.96
  6. Step 6: Final answer
    x = 248,719.55

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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.