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Finding the Fourth Proportional to 357,824.00, 493,790.67 and 196,679.00

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Solution

The fourth proportional to 357,824.00, 493,790.67 and 196,679.00 is: 271,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,824.00 : 493,790.67 = 196,679.00 : x
  2. Step 2: Convert to fraction form
    357,824.00/493,790.67 = 196,679.00/x
  3. Step 3: Cross multiply
    357,824.00x = 493,790.67 × 196,679.00
  4. Step 4: Simplify right side
    357,824.00x = 97,118,256,419.41
  5. Step 5: Solve for x
    x = 97,118,256,419.41/357,824.00
  6. Step 6: Final answer
    x = 271,413.48

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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.