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Finding the Fourth Proportional to 271,902.60, 407,853.90 and 177,424.20

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Solution

The fourth proportional to 271,902.60, 407,853.90 and 177,424.20 is: 266,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,902.60 : 407,853.90 = 177,424.20 : x
  2. Step 2: Convert to fraction form
    271,902.60/407,853.90 = 177,424.20/x
  3. Step 3: Cross multiply
    271,902.60x = 407,853.90 × 177,424.20
  4. Step 4: Simplify right side
    271,902.60x = 72,363,151,924.38
  5. Step 5: Solve for x
    x = 72,363,151,924.38/271,902.60
  6. Step 6: Final answer
    x = 266,136.30

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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.