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Finding the Fourth Proportional to 311,024.64, 466,611.01 and 100,662.58

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Solution

The fourth proportional to 311,024.64, 466,611.01 and 100,662.58 is: 151,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,024.64 : 466,611.01 = 100,662.58 : x
  2. Step 2: Convert to fraction form
    311,024.64/466,611.01 = 100,662.58/x
  3. Step 3: Cross multiply
    311,024.64x = 466,611.01 × 100,662.58
  4. Step 4: Simplify right side
    311,024.64x = 46,970,268,123.01
  5. Step 5: Solve for x
    x = 46,970,268,123.01/311,024.64
  6. Step 6: Final answer
    x = 151,017.84

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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.