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Finding the Fourth Proportional to 339,972.30, 509,958.45 and 280,874.70

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Solution

The fourth proportional to 339,972.30, 509,958.45 and 280,874.70 is: 421,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,972.30 : 509,958.45 = 280,874.70 : x
  2. Step 2: Convert to fraction form
    339,972.30/509,958.45 = 280,874.70/x
  3. Step 3: Cross multiply
    339,972.30x = 509,958.45 × 280,874.70
  4. Step 4: Simplify right side
    339,972.30x = 143,234,426,656.22
  5. Step 5: Solve for x
    x = 143,234,426,656.22/339,972.30
  6. Step 6: Final answer
    x = 421,312.05

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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.