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Finding the Fourth Proportional to 357,980.68, 494,015.18 and 196,846.16

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Solution

The fourth proportional to 357,980.68, 494,015.18 and 196,846.16 is: 271,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,980.68 : 494,015.18 = 196,846.16 : x
  2. Step 2: Convert to fraction form
    357,980.68/494,015.18 = 196,846.16/x
  3. Step 3: Cross multiply
    357,980.68x = 494,015.18 × 196,846.16
  4. Step 4: Simplify right side
    357,980.68x = 97,244,991,164.71
  5. Step 5: Solve for x
    x = 97,244,991,164.71/357,980.68
  6. Step 6: Final answer
    x = 271,648.71

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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.