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Finding the Fourth Proportional to 323,610.17, 446,584.10 and 180,379.28

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Solution

The fourth proportional to 323,610.17, 446,584.10 and 180,379.28 is: 248,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,610.17 : 446,584.10 = 180,379.28 : x
  2. Step 2: Convert to fraction form
    323,610.17/446,584.10 = 180,379.28/x
  3. Step 3: Cross multiply
    323,610.17x = 446,584.10 × 180,379.28
  4. Step 4: Simplify right side
    323,610.17x = 80,554,518,632.01
  5. Step 5: Solve for x
    x = 80,554,518,632.01/323,610.17
  6. Step 6: Final answer
    x = 248,924.56

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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.