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Finding the Fourth Proportional to 295,400, 443,284.32 and 120,296

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Solution

The fourth proportional to 295,400, 443,284.32 and 120,296 is: 180,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,400 : 443,284.32 = 120,296 : x
  2. Step 2: Convert to fraction form
    295,400/443,284.32 = 120,296/x
  3. Step 3: Cross multiply
    295,400x = 443,284.32 × 120,296
  4. Step 4: Simplify right side
    295,400x = 53,325,330,558.72
  5. Step 5: Solve for x
    x = 53,325,330,558.72/295,400
  6. Step 6: Final answer
    x = 180,519.06

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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.