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Finding the Fourth Proportional to 291,704.40, 437,556.60 and 171,638.10

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Solution

The fourth proportional to 291,704.40, 437,556.60 and 171,638.10 is: 257,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,704.40 : 437,556.60 = 171,638.10 : x
  2. Step 2: Convert to fraction form
    291,704.40/437,556.60 = 171,638.10/x
  3. Step 3: Cross multiply
    291,704.40x = 437,556.60 × 171,638.10
  4. Step 4: Simplify right side
    291,704.40x = 75,101,383,466.46
  5. Step 5: Solve for x
    x = 75,101,383,466.46/291,704.40
  6. Step 6: Final answer
    x = 257,457.15

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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.