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Finding the Fourth Proportional to 264,002.40, 395,420.40 and 204,645.60

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Solution

The fourth proportional to 264,002.40, 395,420.40 and 204,645.60 is: 306,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,002.40 : 395,420.40 = 204,645.60 : x
  2. Step 2: Convert to fraction form
    264,002.40/395,420.40 = 204,645.60/x
  3. Step 3: Cross multiply
    264,002.40x = 395,420.40 × 204,645.60
  4. Step 4: Simplify right side
    264,002.40x = 80,921,045,010.24
  5. Step 5: Solve for x
    x = 80,921,045,010.24/264,002.40
  6. Step 6: Final answer
    x = 306,516.32

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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.