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Finding the Fourth Proportional to 357,911.50, 493,905.28 and 196,765.38

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Solution

The fourth proportional to 357,911.50, 493,905.28 and 196,765.38 is: 271,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,911.50 : 493,905.28 = 196,765.38 : x
  2. Step 2: Convert to fraction form
    357,911.50/493,905.28 = 196,765.38/x
  3. Step 3: Cross multiply
    357,911.50x = 493,905.28 × 196,765.38
  4. Step 4: Simplify right side
    357,911.50x = 97,183,460,103.21
  5. Step 5: Solve for x
    x = 97,183,460,103.21/357,911.50
  6. Step 6: Final answer
    x = 271,529.30

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1.5x scale

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.