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Finding the Fourth Proportional to 289,676.20, 434,514.30 and 76,443.70

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Solution

The fourth proportional to 289,676.20, 434,514.30 and 76,443.70 is: 114,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,676.20 : 434,514.30 = 76,443.70 : x
  2. Step 2: Convert to fraction form
    289,676.20/434,514.30 = 76,443.70/x
  3. Step 3: Cross multiply
    289,676.20x = 434,514.30 × 76,443.70
  4. Step 4: Simplify right side
    289,676.20x = 33,215,880,794.91
  5. Step 5: Solve for x
    x = 33,215,880,794.91/289,676.20
  6. Step 6: Final answer
    x = 114,665.55

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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.