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Finding the Fourth Proportional to 294,874.12, 406,926.30 and 160,738.12

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Solution

The fourth proportional to 294,874.12, 406,926.30 and 160,738.12 is: 221,818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,874.12 : 406,926.30 = 160,738.12 : x
  2. Step 2: Convert to fraction form
    294,874.12/406,926.30 = 160,738.12/x
  3. Step 3: Cross multiply
    294,874.12x = 406,926.30 × 160,738.12
  4. Step 4: Simplify right side
    294,874.12x = 65,408,568,440.56
  5. Step 5: Solve for x
    x = 65,408,568,440.56/294,874.12
  6. Step 6: Final answer
    x = 221,818.61

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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.