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Finding the Fourth Proportional to 323,283.98, 446,145.73 and 180,044.03

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Solution

The fourth proportional to 323,283.98, 446,145.73 and 180,044.03 is: 248,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,283.98 : 446,145.73 = 180,044.03 : x
  2. Step 2: Convert to fraction form
    323,283.98/446,145.73 = 180,044.03/x
  3. Step 3: Cross multiply
    323,283.98x = 446,145.73 × 180,044.03
  4. Step 4: Simplify right side
    323,283.98x = 80,325,872,515.65
  5. Step 5: Solve for x
    x = 80,325,872,515.65/323,283.98
  6. Step 6: Final answer
    x = 248,468.46

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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.