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Finding the Fourth Proportional to 271,657.44, 407,644.80 and 113,873.76

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Solution

The fourth proportional to 271,657.44, 407,644.80 and 113,873.76 is: 170,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,657.44 : 407,644.80 = 113,873.76 : x
  2. Step 2: Convert to fraction form
    271,657.44/407,644.80 = 113,873.76/x
  3. Step 3: Cross multiply
    271,657.44x = 407,644.80 × 113,873.76
  4. Step 4: Simplify right side
    271,657.44x = 46,420,046,120.45
  5. Step 5: Solve for x
    x = 46,420,046,120.45/271,657.44
  6. Step 6: Final answer
    x = 170,877.14

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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.