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Finding the Fourth Proportional to 277,773.25, 383,327.10 and 150,449.77

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Solution

The fourth proportional to 277,773.25, 383,327.10 and 150,449.77 is: 207,620.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,773.25 : 383,327.10 = 150,449.77 : x
  2. Step 2: Convert to fraction form
    277,773.25/383,327.10 = 150,449.77/x
  3. Step 3: Cross multiply
    277,773.25x = 383,327.10 × 150,449.77
  4. Step 4: Simplify right side
    277,773.25x = 57,671,474,029.77
  5. Step 5: Solve for x
    x = 57,671,474,029.77/277,773.25
  6. Step 6: Final answer
    x = 207,620.69

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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.