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Finding the Fourth Proportional to 212,470.40, 318,878.40 and 205,558.40

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Solution

The fourth proportional to 212,470.40, 318,878.40 and 205,558.40 is: 308,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,470.40 : 318,878.40 = 205,558.40 : x
  2. Step 2: Convert to fraction form
    212,470.40/318,878.40 = 205,558.40/x
  3. Step 3: Cross multiply
    212,470.40x = 318,878.40 × 205,558.40
  4. Step 4: Simplify right side
    212,470.40x = 65,548,133,698.56
  5. Step 5: Solve for x
    x = 65,548,133,698.56/212,470.40
  6. Step 6: Final answer
    x = 308,504.78

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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.