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Finding the Fourth Proportional to 297,291.96, 410,091.32 and 189,740.76

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Solution

The fourth proportional to 297,291.96, 410,091.32 and 189,740.76 is: 261,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,291.96 : 410,091.32 = 189,740.76 : x
  2. Step 2: Convert to fraction form
    297,291.96/410,091.32 = 189,740.76/x
  3. Step 3: Cross multiply
    297,291.96x = 410,091.32 × 189,740.76
  4. Step 4: Simplify right side
    297,291.96x = 77,811,037,777.50
  5. Step 5: Solve for x
    x = 77,811,037,777.50/297,291.96
  6. Step 6: Final answer
    x = 261,732.73

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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.