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Finding the Fourth Proportional to 357,973.89, 494,005.80 and 196,839.33

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Solution

The fourth proportional to 357,973.89, 494,005.80 and 196,839.33 is: 271,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,973.89 : 494,005.80 = 196,839.33 : x
  2. Step 2: Convert to fraction form
    357,973.89/494,005.80 = 196,839.33/x
  3. Step 3: Cross multiply
    357,973.89x = 494,005.80 × 196,839.33
  4. Step 4: Simplify right side
    357,973.89x = 97,239,768,218.09
  5. Step 5: Solve for x
    x = 97,239,768,218.09/357,973.89
  6. Step 6: Final answer
    x = 271,639.28

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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.