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Finding the Fourth Proportional to 311,636.56, 429,987.05 and 196,777.14

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Solution

The fourth proportional to 311,636.56, 429,987.05 and 196,777.14 is: 271,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,636.56 : 429,987.05 = 196,777.14 : x
  2. Step 2: Convert to fraction form
    311,636.56/429,987.05 = 196,777.14/x
  3. Step 3: Cross multiply
    311,636.56x = 429,987.05 × 196,777.14
  4. Step 4: Simplify right side
    311,636.56x = 84,611,618,802.22
  5. Step 5: Solve for x
    x = 84,611,618,802.22/311,636.56
  6. Step 6: Final answer
    x = 271,507.36

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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.