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Finding the Fourth Proportional to 264,906.45, 397,359.68 and 96,616.80

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Solution

The fourth proportional to 264,906.45, 397,359.68 and 96,616.80 is: 144,925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,906.45 : 397,359.68 = 96,616.80 : x
  2. Step 2: Convert to fraction form
    264,906.45/397,359.68 = 96,616.80/x
  3. Step 3: Cross multiply
    264,906.45x = 397,359.68 × 96,616.80
  4. Step 4: Simplify right side
    264,906.45x = 38,391,620,247.54
  5. Step 5: Solve for x
    x = 38,391,620,247.54/264,906.45
  6. Step 6: Final answer
    x = 144,925.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.