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Finding the Fourth Proportional to 357,828.75, 493,804.77 and 196,700.31

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Solution

The fourth proportional to 357,828.75, 493,804.77 and 196,700.31 is: 271,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,828.75 : 493,804.77 = 196,700.31 : x
  2. Step 2: Convert to fraction form
    357,828.75/493,804.77 = 196,700.31/x
  3. Step 3: Cross multiply
    357,828.75x = 493,804.77 × 196,700.31
  4. Step 4: Simplify right side
    357,828.75x = 97,131,551,338.48
  5. Step 5: Solve for x
    x = 97,131,551,338.48/357,828.75
  6. Step 6: Final answer
    x = 271,447.03

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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.