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Finding the Fourth Proportional to 357,606.50, 493,505.87 and 196,471.98

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Solution

The fourth proportional to 357,606.50, 493,505.87 and 196,471.98 is: 271,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,606.50 : 493,505.87 = 196,471.98 : x
  2. Step 2: Convert to fraction form
    357,606.50/493,505.87 = 196,471.98/x
  3. Step 3: Cross multiply
    357,606.50x = 493,505.87 × 196,471.98
  4. Step 4: Simplify right side
    357,606.50x = 96,960,074,438.16
  5. Step 5: Solve for x
    x = 96,960,074,438.16/357,606.50
  6. Step 6: Final answer
    x = 271,136.22

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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.