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Finding the Fourth Proportional to 277,886.44, 416,744.54 and 100,371.56

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Solution

The fourth proportional to 277,886.44, 416,744.54 and 100,371.56 is: 150,526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,886.44 : 416,744.54 = 100,371.56 : x
  2. Step 2: Convert to fraction form
    277,886.44/416,744.54 = 100,371.56/x
  3. Step 3: Cross multiply
    277,886.44x = 416,744.54 × 100,371.56
  4. Step 4: Simplify right side
    277,886.44x = 41,829,299,601.28
  5. Step 5: Solve for x
    x = 41,829,299,601.28/277,886.44
  6. Step 6: Final answer
    x = 150,526.59

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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.