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Finding the Fourth Proportional to 6,178,289.85, 9,268,978.04 and 4,360,203.44

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Solution

The fourth proportional to 6,178,289.85, 9,268,978.04 and 4,360,203.44 is: 6,541,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178,289.85 : 9,268,978.04 = 4,360,203.44 : x
  2. Step 2: Convert to fraction form
    6,178,289.85/9,268,978.04 = 4,360,203.44/x
  3. Step 3: Cross multiply
    6,178,289.85x = 9,268,978.04 × 4,360,203.44
  4. Step 4: Simplify right side
    6,178,289.85x = 40,414,629,867,146.55
  5. Step 5: Solve for x
    x = 40,414,629,867,146.55/6,178,289.85
  6. Step 6: Final answer
    x = 6,541,394.28

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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.