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Finding the Fourth Proportional to 277,749.34, 416,624.58 and 100,381.60

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Solution

The fourth proportional to 277,749.34, 416,624.58 and 100,381.60 is: 150,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,749.34 : 416,624.58 = 100,381.60 : x
  2. Step 2: Convert to fraction form
    277,749.34/416,624.58 = 100,381.60/x
  3. Step 3: Cross multiply
    277,749.34x = 416,624.58 × 100,381.60
  4. Step 4: Simplify right side
    277,749.34x = 41,821,441,939.73
  5. Step 5: Solve for x
    x = 41,821,441,939.73/277,749.34
  6. Step 6: Final answer
    x = 150,572.61

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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.