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Finding the Fourth Proportional to 271,728.28, 407,461.29 and 113,914.36

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Solution

The fourth proportional to 271,728.28, 407,461.29 and 113,914.36 is: 170,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,728.28 : 407,461.29 = 113,914.36 : x
  2. Step 2: Convert to fraction form
    271,728.28/407,461.29 = 113,914.36/x
  3. Step 3: Cross multiply
    271,728.28x = 407,461.29 × 113,914.36
  4. Step 4: Simplify right side
    271,728.28x = 46,415,692,075.12
  5. Step 5: Solve for x
    x = 46,415,692,075.12/271,728.28
  6. Step 6: Final answer
    x = 170,816.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.