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Finding the Fourth Proportional to 357,692.96, 493,617.76 and 196,551.52

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Solution

The fourth proportional to 357,692.96, 493,617.76 and 196,551.52 is: 271,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,692.96 : 493,617.76 = 196,551.52 : x
  2. Step 2: Convert to fraction form
    357,692.96/493,617.76 = 196,551.52/x
  3. Step 3: Cross multiply
    357,692.96x = 493,617.76 × 196,551.52
  4. Step 4: Simplify right side
    357,692.96x = 97,021,321,027.00
  5. Step 5: Solve for x
    x = 97,021,321,027.00/357,692.96
  6. Step 6: Final answer
    x = 271,241.91

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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.