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Finding the Fourth Proportional to 342,057.02, 471,997.80 and 189,074.54

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Solution

The fourth proportional to 342,057.02, 471,997.80 and 189,074.54 is: 260,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,057.02 : 471,997.80 = 189,074.54 : x
  2. Step 2: Convert to fraction form
    342,057.02/471,997.80 = 189,074.54/x
  3. Step 3: Cross multiply
    342,057.02x = 471,997.80 × 189,074.54
  4. Step 4: Simplify right side
    342,057.02x = 89,242,768,096.01
  5. Step 5: Solve for x
    x = 89,242,768,096.01/342,057.02
  6. Step 6: Final answer
    x = 260,900.27

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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.