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Finding the Fourth Proportional to 1,649,280.60, 2,469,984.30 and 1,649,280.60

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Solution

The fourth proportional to 1,649,280.60, 2,469,984.30 and 1,649,280.60 is: 2,469,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,280.60 : 2,469,984.30 = 1,649,280.60 : x
  2. Step 2: Convert to fraction form
    1,649,280.60/2,469,984.30 = 1,649,280.60/x
  3. Step 3: Cross multiply
    1,649,280.60x = 2,469,984.30 × 1,649,280.60
  4. Step 4: Simplify right side
    1,649,280.60x = 4,073,697,188,294.58
  5. Step 5: Solve for x
    x = 4,073,697,188,294.58/1,649,280.60
  6. Step 6: Final answer
    x = 2,469,984.30

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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.