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Finding the Fourth Proportional to 297,093.92, 445,714.68 and 147,404.48

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Solution

The fourth proportional to 297,093.92, 445,714.68 and 147,404.48 is: 221,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,093.92 : 445,714.68 = 147,404.48 : x
  2. Step 2: Convert to fraction form
    297,093.92/445,714.68 = 147,404.48/x
  3. Step 3: Cross multiply
    297,093.92x = 445,714.68 × 147,404.48
  4. Step 4: Simplify right side
    297,093.92x = 65,700,340,633.77
  5. Step 5: Solve for x
    x = 65,700,340,633.77/297,093.92
  6. Step 6: Final answer
    x = 221,143.34

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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.