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Finding the Fourth Proportional to 270,642.40, 405,963.60 and 262,866.40

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Solution

The fourth proportional to 270,642.40, 405,963.60 and 262,866.40 is: 394,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,642.40 : 405,963.60 = 262,866.40 : x
  2. Step 2: Convert to fraction form
    270,642.40/405,963.60 = 262,866.40/x
  3. Step 3: Cross multiply
    270,642.40x = 405,963.60 × 262,866.40
  4. Step 4: Simplify right side
    270,642.40x = 106,714,190,063.04
  5. Step 5: Solve for x
    x = 106,714,190,063.04/270,642.40
  6. Step 6: Final answer
    x = 394,299.60

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1.5x scale

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.