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Finding the Fourth Proportional to 277,651.92, 383,157.90 and 150,327.12

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Solution

The fourth proportional to 277,651.92, 383,157.90 and 150,327.12 is: 207,450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,651.92 : 383,157.90 = 150,327.12 : x
  2. Step 2: Convert to fraction form
    277,651.92/383,157.90 = 150,327.12/x
  3. Step 3: Cross multiply
    277,651.92x = 383,157.90 × 150,327.12
  4. Step 4: Simplify right side
    277,651.92x = 57,599,023,612.25
  5. Step 5: Solve for x
    x = 57,599,023,612.25/277,651.92
  6. Step 6: Final answer
    x = 207,450.48

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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.