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Finding the Fourth Proportional to 264,114.40, 397,046.40 and 225,623.20

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Solution

The fourth proportional to 264,114.40, 397,046.40 and 225,623.20 is: 339,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,114.40 : 397,046.40 = 225,623.20 : x
  2. Step 2: Convert to fraction form
    264,114.40/397,046.40 = 225,623.20/x
  3. Step 3: Cross multiply
    264,114.40x = 397,046.40 × 225,623.20
  4. Step 4: Simplify right side
    264,114.40x = 89,582,879,316.48
  5. Step 5: Solve for x
    x = 89,582,879,316.48/264,114.40
  6. Step 6: Final answer
    x = 339,182.11

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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.