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Finding the Fourth Proportional to 264,408.21, 396,612.41 and 144,399.52

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Solution

The fourth proportional to 264,408.21, 396,612.41 and 144,399.52 is: 216,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,408.21 : 396,612.41 = 144,399.52 : x
  2. Step 2: Convert to fraction form
    264,408.21/396,612.41 = 144,399.52/x
  3. Step 3: Cross multiply
    264,408.21x = 396,612.41 × 144,399.52
  4. Step 4: Simplify right side
    264,408.21x = 57,270,642,976.86
  5. Step 5: Solve for x
    x = 57,270,642,976.86/264,408.21
  6. Step 6: Final answer
    x = 216,599.34

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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.