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Finding the Fourth Proportional to 271,907.60, 407,861.40 and 177,429.20

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Solution

The fourth proportional to 271,907.60, 407,861.40 and 177,429.20 is: 266,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,907.60 : 407,861.40 = 177,429.20 : x
  2. Step 2: Convert to fraction form
    271,907.60/407,861.40 = 177,429.20/x
  3. Step 3: Cross multiply
    271,907.60x = 407,861.40 × 177,429.20
  4. Step 4: Simplify right side
    271,907.60x = 72,366,521,912.88
  5. Step 5: Solve for x
    x = 72,366,521,912.88/271,907.60
  6. Step 6: Final answer
    x = 266,143.80

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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.