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Finding the Fourth Proportional to 339,580.80, 509,371.20 and 264,931.20

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Solution

The fourth proportional to 339,580.80, 509,371.20 and 264,931.20 is: 397,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,580.80 : 509,371.20 = 264,931.20 : x
  2. Step 2: Convert to fraction form
    339,580.80/509,371.20 = 264,931.20/x
  3. Step 3: Cross multiply
    339,580.80x = 509,371.20 × 264,931.20
  4. Step 4: Simplify right side
    339,580.80x = 134,948,323,261.44
  5. Step 5: Solve for x
    x = 134,948,323,261.44/339,580.80
  6. Step 6: Final answer
    x = 397,396.80

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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.