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Finding the Fourth Proportional to 357,977.93, 494,011.38 and 196,843.41

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Solution

The fourth proportional to 357,977.93, 494,011.38 and 196,843.41 is: 271,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,977.93 : 494,011.38 = 196,843.41 : x
  2. Step 2: Convert to fraction form
    357,977.93/494,011.38 = 196,843.41/x
  3. Step 3: Cross multiply
    357,977.93x = 494,011.38 × 196,843.41
  4. Step 4: Simplify right side
    357,977.93x = 97,242,884,618.01
  5. Step 5: Solve for x
    x = 97,242,884,618.01/357,977.93
  6. Step 6: Final answer
    x = 271,644.92

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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.