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Finding the Fourth Proportional to 357,803.30, 493,777.98 and 196,662.65

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Solution

The fourth proportional to 357,803.30, 493,777.98 and 196,662.65 is: 271,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,803.30 : 493,777.98 = 196,662.65 : x
  2. Step 2: Convert to fraction form
    357,803.30/493,777.98 = 196,662.65/x
  3. Step 3: Cross multiply
    357,803.30x = 493,777.98 × 196,662.65
  4. Step 4: Simplify right side
    357,803.30x = 97,107,683,589.56
  5. Step 5: Solve for x
    x = 97,107,683,589.56/357,803.30
  6. Step 6: Final answer
    x = 271,399.63

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1.5x scale

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.