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Finding the Fourth Proportional to 323,396.55, 446,287.50 and 180,156.96

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Solution

The fourth proportional to 323,396.55, 446,287.50 and 180,156.96 is: 248,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,396.55 : 446,287.50 = 180,156.96 : x
  2. Step 2: Convert to fraction form
    323,396.55/446,287.50 = 180,156.96/x
  3. Step 3: Cross multiply
    323,396.55x = 446,287.50 × 180,156.96
  4. Step 4: Simplify right side
    323,396.55x = 80,401,799,286
  5. Step 5: Solve for x
    x = 80,401,799,286/323,396.55
  6. Step 6: Final answer
    x = 248,616.75

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1.5x scale

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.