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Finding the Fourth Proportional to 357,969.75, 493,985.61 and 196,823.67

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Solution

The fourth proportional to 357,969.75, 493,985.61 and 196,823.67 is: 271,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,969.75 : 493,985.61 = 196,823.67 : x
  2. Step 2: Convert to fraction form
    357,969.75/493,985.61 = 196,823.67/x
  3. Step 3: Cross multiply
    357,969.75x = 493,985.61 × 196,823.67
  4. Step 4: Simplify right side
    357,969.75x = 97,228,060,687.39
  5. Step 5: Solve for x
    x = 97,228,060,687.39/357,969.75
  6. Step 6: Final answer
    x = 271,609.71

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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.