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Finding the Fourth Proportional to 512,460.40, 768,690.60 and 228,150.40

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Solution

The fourth proportional to 512,460.40, 768,690.60 and 228,150.40 is: 342,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,460.40 : 768,690.60 = 228,150.40 : x
  2. Step 2: Convert to fraction form
    512,460.40/768,690.60 = 228,150.40/x
  3. Step 3: Cross multiply
    512,460.40x = 768,690.60 × 228,150.40
  4. Step 4: Simplify right side
    512,460.40x = 175,377,067,866.24
  5. Step 5: Solve for x
    x = 175,377,067,866.24/512,460.40
  6. Step 6: Final answer
    x = 342,225.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.