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Finding the Fourth Proportional to 280,033.20, 419,466.60 and 280,033.20

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Solution

The fourth proportional to 280,033.20, 419,466.60 and 280,033.20 is: 419,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,033.20 : 419,466.60 = 280,033.20 : x
  2. Step 2: Convert to fraction form
    280,033.20/419,466.60 = 280,033.20/x
  3. Step 3: Cross multiply
    280,033.20x = 419,466.60 × 280,033.20
  4. Step 4: Simplify right side
    280,033.20x = 117,464,574,291.12
  5. Step 5: Solve for x
    x = 117,464,574,291.12/280,033.20
  6. Step 6: Final answer
    x = 419,466.60

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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.