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Finding the Fourth Proportional to 355,106.70, 490,044 and 193,961.70

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Solution

The fourth proportional to 355,106.70, 490,044 and 193,961.70 is: 267,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,106.70 : 490,044 = 193,961.70 : x
  2. Step 2: Convert to fraction form
    355,106.70/490,044 = 193,961.70/x
  3. Step 3: Cross multiply
    355,106.70x = 490,044 × 193,961.70
  4. Step 4: Simplify right side
    355,106.70x = 95,049,767,314.80
  5. Step 5: Solve for x
    x = 95,049,767,314.80/355,106.70
  6. Step 6: Final answer
    x = 267,665.37

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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.