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Finding the Fourth Proportional to 309,714.85, 464,516.90 and 197,060.43

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Solution

The fourth proportional to 309,714.85, 464,516.90 and 197,060.43 is: 295,555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,714.85 : 464,516.90 = 197,060.43 : x
  2. Step 2: Convert to fraction form
    309,714.85/464,516.90 = 197,060.43/x
  3. Step 3: Cross multiply
    309,714.85x = 464,516.90 × 197,060.43
  4. Step 4: Simplify right side
    309,714.85x = 91,537,901,452.89
  5. Step 5: Solve for x
    x = 91,537,901,452.89/309,714.85
  6. Step 6: Final answer
    x = 295,555.41

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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.