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Finding the Fourth Proportional to 264,201.80, 396,302.70 and 174,000.20

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Solution

The fourth proportional to 264,201.80, 396,302.70 and 174,000.20 is: 261,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,201.80 : 396,302.70 = 174,000.20 : x
  2. Step 2: Convert to fraction form
    264,201.80/396,302.70 = 174,000.20/x
  3. Step 3: Cross multiply
    264,201.80x = 396,302.70 × 174,000.20
  4. Step 4: Simplify right side
    264,201.80x = 68,956,749,060.54
  5. Step 5: Solve for x
    x = 68,956,749,060.54/264,201.80
  6. Step 6: Final answer
    x = 261,000.30

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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.