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Finding the Fourth Proportional to 301,114.80, 451,672.20 and 182,822.40

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Solution

The fourth proportional to 301,114.80, 451,672.20 and 182,822.40 is: 274,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,114.80 : 451,672.20 = 182,822.40 : x
  2. Step 2: Convert to fraction form
    301,114.80/451,672.20 = 182,822.40/x
  3. Step 3: Cross multiply
    301,114.80x = 451,672.20 × 182,822.40
  4. Step 4: Simplify right side
    301,114.80x = 82,575,795,617.28
  5. Step 5: Solve for x
    x = 82,575,795,617.28/301,114.80
  6. Step 6: Final answer
    x = 274,233.60

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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.