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Finding the Fourth Proportional to 323,282.04, 446,143.06 and 180,042.08

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Solution

The fourth proportional to 323,282.04, 446,143.06 and 180,042.08 is: 248,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,282.04 : 446,143.06 = 180,042.08 : x
  2. Step 2: Convert to fraction form
    323,282.04/446,143.06 = 180,042.08/x
  3. Step 3: Cross multiply
    323,282.04x = 446,143.06 × 180,042.08
  4. Step 4: Simplify right side
    323,282.04x = 80,324,524,499.96
  5. Step 5: Solve for x
    x = 80,324,524,499.96/323,282.04
  6. Step 6: Final answer
    x = 248,465.78

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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.