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Finding the Fourth Proportional to 327,662.83, 491,612.57 and 114,462.24

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Solution

The fourth proportional to 327,662.83, 491,612.57 and 114,462.24 is: 171,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,662.83 : 491,612.57 = 114,462.24 : x
  2. Step 2: Convert to fraction form
    327,662.83/491,612.57 = 114,462.24/x
  3. Step 3: Cross multiply
    327,662.83x = 491,612.57 × 114,462.24
  4. Step 4: Simplify right side
    327,662.83x = 56,271,075,974.36
  5. Step 5: Solve for x
    x = 56,271,075,974.36/327,662.83
  6. Step 6: Final answer
    x = 171,734.69

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1.5x scale

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.