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Finding the Fourth Proportional to 301,074.76, 451,612.34 and 76,452.04

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Solution

The fourth proportional to 301,074.76, 451,612.34 and 76,452.04 is: 114,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,074.76 : 451,612.34 = 76,452.04 : x
  2. Step 2: Convert to fraction form
    301,074.76/451,612.34 = 76,452.04/x
  3. Step 3: Cross multiply
    301,074.76x = 451,612.34 × 76,452.04
  4. Step 4: Simplify right side
    301,074.76x = 34,526,682,041.85
  5. Step 5: Solve for x
    x = 34,526,682,041.85/301,074.76
  6. Step 6: Final answer
    x = 114,678.10

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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.