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Finding the Fourth Proportional to 323,272.84, 446,106.54 and 180,029.92

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Solution

The fourth proportional to 323,272.84, 446,106.54 and 180,029.92 is: 248,435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,272.84 : 446,106.54 = 180,029.92 : x
  2. Step 2: Convert to fraction form
    323,272.84/446,106.54 = 180,029.92/x
  3. Step 3: Cross multiply
    323,272.84x = 446,106.54 × 180,029.92
  4. Step 4: Simplify right side
    323,272.84x = 80,312,524,707.68
  5. Step 5: Solve for x
    x = 80,312,524,707.68/323,272.84
  6. Step 6: Final answer
    x = 248,435.73

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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.