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Finding the Fourth Proportional to 365,714.56, 504,482.87 and 212,735.54

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Solution

The fourth proportional to 365,714.56, 504,482.87 and 212,735.54 is: 293,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,714.56 : 504,482.87 = 212,735.54 : x
  2. Step 2: Convert to fraction form
    365,714.56/504,482.87 = 212,735.54/x
  3. Step 3: Cross multiply
    365,714.56x = 504,482.87 × 212,735.54
  4. Step 4: Simplify right side
    365,714.56x = 107,321,435,770.20
  5. Step 5: Solve for x
    x = 107,321,435,770.20/365,714.56
  6. Step 6: Final answer
    x = 293,456.83

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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.