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Finding the Fourth Proportional to 305,582.96, 458,367.24 and 180,019.52

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Solution

The fourth proportional to 305,582.96, 458,367.24 and 180,019.52 is: 270,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,582.96 : 458,367.24 = 180,019.52 : x
  2. Step 2: Convert to fraction form
    305,582.96/458,367.24 = 180,019.52/x
  3. Step 3: Cross multiply
    305,582.96x = 458,367.24 × 180,019.52
  4. Step 4: Simplify right side
    305,582.96x = 82,515,050,528.52
  5. Step 5: Solve for x
    x = 82,515,050,528.52/305,582.96
  6. Step 6: Final answer
    x = 270,025.04

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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.