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Finding the Fourth Proportional to 277,953.60, 416,638.80 and 109,408.80

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Solution

The fourth proportional to 277,953.60, 416,638.80 and 109,408.80 is: 163,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,953.60 : 416,638.80 = 109,408.80 : x
  2. Step 2: Convert to fraction form
    277,953.60/416,638.80 = 109,408.80/x
  3. Step 3: Cross multiply
    277,953.60x = 416,638.80 × 109,408.80
  4. Step 4: Simplify right side
    277,953.60x = 45,583,951,141.44
  5. Step 5: Solve for x
    x = 45,583,951,141.44/277,953.60
  6. Step 6: Final answer
    x = 163,998.42

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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.