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Finding the Fourth Proportional to 323,478, 446,393.68 and 180,234.96

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Solution

The fourth proportional to 323,478, 446,393.68 and 180,234.96 is: 248,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,478 : 446,393.68 = 180,234.96 : x
  2. Step 2: Convert to fraction form
    323,478/446,393.68 = 180,234.96/x
  3. Step 3: Cross multiply
    323,478x = 446,393.68 × 180,234.96
  4. Step 4: Simplify right side
    323,478x = 80,455,747,059.05
  5. Step 5: Solve for x
    x = 80,455,747,059.05/323,478
  6. Step 6: Final answer
    x = 248,720.92

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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.