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Finding the Fourth Proportional to 304,157.97, 419,598.48 and 196,762.63

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Solution

The fourth proportional to 304,157.97, 419,598.48 and 196,762.63 is: 271,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,157.97 : 419,598.48 = 196,762.63 : x
  2. Step 2: Convert to fraction form
    304,157.97/419,598.48 = 196,762.63/x
  3. Step 3: Cross multiply
    304,157.97x = 419,598.48 × 196,762.63
  4. Step 4: Simplify right side
    304,157.97x = 82,561,300,468.80
  5. Step 5: Solve for x
    x = 82,561,300,468.80/304,157.97
  6. Step 6: Final answer
    x = 271,442.17

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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.