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Finding the Fourth Proportional to 271,846.10, 407,368.20 and 197,123.60

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Solution

The fourth proportional to 271,846.10, 407,368.20 and 197,123.60 is: 295,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,846.10 : 407,368.20 = 197,123.60 : x
  2. Step 2: Convert to fraction form
    271,846.10/407,368.20 = 197,123.60/x
  3. Step 3: Cross multiply
    271,846.10x = 407,368.20 × 197,123.60
  4. Step 4: Simplify right side
    271,846.10x = 80,301,886,109.52
  5. Step 5: Solve for x
    x = 80,301,886,109.52/271,846.10
  6. Step 6: Final answer
    x = 295,394.66

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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.