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Finding the Fourth Proportional to 357,588.37, 493,477.01 and 196,458.31

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Solution

The fourth proportional to 357,588.37, 493,477.01 and 196,458.31 is: 271,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,588.37 : 493,477.01 = 196,458.31 : x
  2. Step 2: Convert to fraction form
    357,588.37/493,477.01 = 196,458.31/x
  3. Step 3: Cross multiply
    357,588.37x = 493,477.01 × 196,458.31
  4. Step 4: Simplify right side
    357,588.37x = 96,947,659,408.45
  5. Step 5: Solve for x
    x = 96,947,659,408.45/357,588.37
  6. Step 6: Final answer
    x = 271,115.25

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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.