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Finding the Fourth Proportional to 274,851.20, 412,276.80 and 212,566.40

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Solution

The fourth proportional to 274,851.20, 412,276.80 and 212,566.40 is: 318,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,851.20 : 412,276.80 = 212,566.40 : x
  2. Step 2: Convert to fraction form
    274,851.20/412,276.80 = 212,566.40/x
  3. Step 3: Cross multiply
    274,851.20x = 412,276.80 × 212,566.40
  4. Step 4: Simplify right side
    274,851.20x = 87,636,195,179.52
  5. Step 5: Solve for x
    x = 87,636,195,179.52/274,851.20
  6. Step 6: Final answer
    x = 318,849.60

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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.