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Finding the Fourth Proportional to 305,577.96, 458,359.74 and 180,014.52

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Solution

The fourth proportional to 305,577.96, 458,359.74 and 180,014.52 is: 270,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,577.96 : 458,359.74 = 180,014.52 : x
  2. Step 2: Convert to fraction form
    305,577.96/458,359.74 = 180,014.52/x
  3. Step 3: Cross multiply
    305,577.96x = 458,359.74 × 180,014.52
  4. Step 4: Simplify right side
    305,577.96x = 82,511,408,583.42
  5. Step 5: Solve for x
    x = 82,511,408,583.42/305,577.96
  6. Step 6: Final answer
    x = 270,017.54

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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.