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Finding the Fourth Proportional to 800,649, 1,104,896.43 and 461,118.06

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Solution

The fourth proportional to 800,649, 1,104,896.43 and 461,118.06 is: 636,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,649 : 1,104,896.43 = 461,118.06 : x
  2. Step 2: Convert to fraction form
    800,649/1,104,896.43 = 461,118.06/x
  3. Step 3: Cross multiply
    800,649x = 1,104,896.43 × 461,118.06
  4. Step 4: Simplify right side
    800,649x = 509,487,698,302.53
  5. Step 5: Solve for x
    x = 509,487,698,302.53/800,649
  6. Step 6: Final answer
    x = 636,343.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.