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Finding the Fourth Proportional to 305,015.37, 457,526.16 and 80,408.04

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Solution

The fourth proportional to 305,015.37, 457,526.16 and 80,408.04 is: 120,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,015.37 : 457,526.16 = 80,408.04 : x
  2. Step 2: Convert to fraction form
    305,015.37/457,526.16 = 80,408.04/x
  3. Step 3: Cross multiply
    305,015.37x = 457,526.16 × 80,408.04
  4. Step 4: Simplify right side
    305,015.37x = 36,788,781,774.33
  5. Step 5: Solve for x
    x = 36,788,781,774.33/305,015.37
  6. Step 6: Final answer
    x = 120,612.88

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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.