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Finding the Fourth Proportional to 321,500.96, 482,331.36 and 96,856.32

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Solution

The fourth proportional to 321,500.96, 482,331.36 and 96,856.32 is: 145,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,500.96 : 482,331.36 = 96,856.32 : x
  2. Step 2: Convert to fraction form
    321,500.96/482,331.36 = 96,856.32/x
  3. Step 3: Cross multiply
    321,500.96x = 482,331.36 × 96,856.32
  4. Step 4: Simplify right side
    321,500.96x = 46,716,840,550.20
  5. Step 5: Solve for x
    x = 46,716,840,550.20/321,500.96
  6. Step 6: Final answer
    x = 145,308.56

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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.