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Finding the Fourth Proportional to 445,401, 666,427.50 and 312,540.48

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Solution

The fourth proportional to 445,401, 666,427.50 and 312,540.48 is: 467,636.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,401 : 666,427.50 = 312,540.48 : x
  2. Step 2: Convert to fraction form
    445,401/666,427.50 = 312,540.48/x
  3. Step 3: Cross multiply
    445,401x = 666,427.50 × 312,540.48
  4. Step 4: Simplify right side
    445,401x = 208,285,570,735.20
  5. Step 5: Solve for x
    x = 208,285,570,735.20/445,401
  6. Step 6: Final answer
    x = 467,636.06

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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.