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Finding the Fourth Proportional to 462,408.24, 693,612.36 and 129,984.24

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Solution

The fourth proportional to 462,408.24, 693,612.36 and 129,984.24 is: 194,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,408.24 : 693,612.36 = 129,984.24 : x
  2. Step 2: Convert to fraction form
    462,408.24/693,612.36 = 129,984.24/x
  3. Step 3: Cross multiply
    462,408.24x = 693,612.36 × 129,984.24
  4. Step 4: Simplify right side
    462,408.24x = 90,158,675,469.21
  5. Step 5: Solve for x
    x = 90,158,675,469.21/462,408.24
  6. Step 6: Final answer
    x = 194,976.36

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Double scale
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Similar ratio
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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.