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Finding the Fourth Proportional to 1,648,608.80, 2,469,802.80 and 1,536,634.40

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Solution

The fourth proportional to 1,648,608.80, 2,469,802.80 and 1,536,634.40 is: 2,302,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,608.80 : 2,469,802.80 = 1,536,634.40 : x
  2. Step 2: Convert to fraction form
    1,648,608.80/2,469,802.80 = 1,536,634.40/x
  3. Step 3: Cross multiply
    1,648,608.80x = 2,469,802.80 × 1,536,634.40
  4. Step 4: Simplify right side
    1,648,608.80x = 3,795,183,943,696.32
  5. Step 5: Solve for x
    x = 3,795,183,943,696.32/1,648,608.80
  6. Step 6: Final answer
    x = 2,302,052.46

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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.