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Finding the Fourth Proportional to 357,935.49, 493,954.29 and 196,791.66

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Solution

The fourth proportional to 357,935.49, 493,954.29 and 196,791.66 is: 271,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,935.49 : 493,954.29 = 196,791.66 : x
  2. Step 2: Convert to fraction form
    357,935.49/493,954.29 = 196,791.66/x
  3. Step 3: Cross multiply
    357,935.49x = 493,954.29 × 196,791.66
  4. Step 4: Simplify right side
    357,935.49x = 97,206,084,693.22
  5. Step 5: Solve for x
    x = 97,206,084,693.22/357,935.49
  6. Step 6: Final answer
    x = 271,574.31

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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.