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Finding the Fourth Proportional to 470,447.88, 649,205.44 and 276,866.98

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Solution

The fourth proportional to 470,447.88, 649,205.44 and 276,866.98 is: 382,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,447.88 : 649,205.44 = 276,866.98 : x
  2. Step 2: Convert to fraction form
    470,447.88/649,205.44 = 276,866.98/x
  3. Step 3: Cross multiply
    470,447.88x = 649,205.44 × 276,866.98
  4. Step 4: Simplify right side
    470,447.88x = 179,743,551,687.66
  5. Step 5: Solve for x
    x = 179,743,551,687.66/470,447.88
  6. Step 6: Final answer
    x = 382,069.00

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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.