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Finding the Fourth Proportional to 264,234.40, 396,351.60 and 254,903.20

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Solution

The fourth proportional to 264,234.40, 396,351.60 and 254,903.20 is: 382,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,234.40 : 396,351.60 = 254,903.20 : x
  2. Step 2: Convert to fraction form
    264,234.40/396,351.60 = 254,903.20/x
  3. Step 3: Cross multiply
    264,234.40x = 396,351.60 × 254,903.20
  4. Step 4: Simplify right side
    264,234.40x = 101,031,291,165.12
  5. Step 5: Solve for x
    x = 101,031,291,165.12/264,234.40
  6. Step 6: Final answer
    x = 382,354.80

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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.