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Finding the Fourth Proportional to 357,742.35, 493,660.58 and 196,593.93

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Solution

The fourth proportional to 357,742.35, 493,660.58 and 196,593.93 is: 271,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,742.35 : 493,660.58 = 196,593.93 : x
  2. Step 2: Convert to fraction form
    357,742.35/493,660.58 = 196,593.93/x
  3. Step 3: Cross multiply
    357,742.35x = 493,660.58 × 196,593.93
  4. Step 4: Simplify right side
    357,742.35x = 97,050,672,525.31
  5. Step 5: Solve for x
    x = 97,050,672,525.31/357,742.35
  6. Step 6: Final answer
    x = 271,286.51

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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.