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Finding the Fourth Proportional to 357,611.84, 493,502.27 and 196,463.42

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Solution

The fourth proportional to 357,611.84, 493,502.27 and 196,463.42 is: 271,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,611.84 : 493,502.27 = 196,463.42 : x
  2. Step 2: Convert to fraction form
    357,611.84/493,502.27 = 196,463.42/x
  3. Step 3: Cross multiply
    357,611.84x = 493,502.27 × 196,463.42
  4. Step 4: Simplify right side
    357,611.84x = 96,955,145,466.88
  5. Step 5: Solve for x
    x = 96,955,145,466.88/357,611.84
  6. Step 6: Final answer
    x = 271,118.39

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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.