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Finding the Fourth Proportional to 323,276.49, 446,077.67 and 180,008.01

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Solution

The fourth proportional to 323,276.49, 446,077.67 and 180,008.01 is: 248,386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,276.49 : 446,077.67 = 180,008.01 : x
  2. Step 2: Convert to fraction form
    323,276.49/446,077.67 = 180,008.01/x
  3. Step 3: Cross multiply
    323,276.49x = 446,077.67 × 180,008.01
  4. Step 4: Simplify right side
    323,276.49x = 80,297,552,782.10
  5. Step 5: Solve for x
    x = 80,297,552,782.10/323,276.49
  6. Step 6: Final answer
    x = 248,386.61

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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.