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Finding the Fourth Proportional to 1,809,684, 2,714,524.45 and 461,846.50

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Solution

The fourth proportional to 1,809,684, 2,714,524.45 and 461,846.50 is: 692,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809,684 : 2,714,524.45 = 461,846.50 : x
  2. Step 2: Convert to fraction form
    1,809,684/2,714,524.45 = 461,846.50/x
  3. Step 3: Cross multiply
    1,809,684x = 2,714,524.45 × 461,846.50
  4. Step 4: Simplify right side
    1,809,684x = 1,253,693,616,396.93
  5. Step 5: Solve for x
    x = 1,253,693,616,396.93/1,809,684
  6. Step 6: Final answer
    x = 692,769.35

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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.