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Finding the Fourth Proportional to 264,809.20, 396,695.40 and 159,314.80

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Solution

The fourth proportional to 264,809.20, 396,695.40 and 159,314.80 is: 238,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,809.20 : 396,695.40 = 159,314.80 : x
  2. Step 2: Convert to fraction form
    264,809.20/396,695.40 = 159,314.80/x
  3. Step 3: Cross multiply
    264,809.20x = 396,695.40 × 159,314.80
  4. Step 4: Simplify right side
    264,809.20x = 63,199,448,311.92
  5. Step 5: Solve for x
    x = 63,199,448,311.92/264,809.20
  6. Step 6: Final answer
    x = 238,660.32

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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.