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Finding the Fourth Proportional to 357,824.94, 493,799.67 and 196,693.98

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Solution

The fourth proportional to 357,824.94, 493,799.67 and 196,693.98 is: 271,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,824.94 : 493,799.67 = 196,693.98 : x
  2. Step 2: Convert to fraction form
    357,824.94/493,799.67 = 196,693.98/x
  3. Step 3: Cross multiply
    357,824.94x = 493,799.67 × 196,693.98
  4. Step 4: Simplify right side
    357,824.94x = 97,127,422,414.99
  5. Step 5: Solve for x
    x = 97,127,422,414.99/357,824.94
  6. Step 6: Final answer
    x = 271,438.38

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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.