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Finding the Fourth Proportional to 321,410.40, 482,116.40 and 96,771.48

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Solution

The fourth proportional to 321,410.40, 482,116.40 and 96,771.48 is: 145,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,410.40 : 482,116.40 = 96,771.48 : x
  2. Step 2: Convert to fraction form
    321,410.40/482,116.40 = 96,771.48/x
  3. Step 3: Cross multiply
    321,410.40x = 482,116.40 × 96,771.48
  4. Step 4: Simplify right side
    321,410.40x = 46,655,117,560.27
  5. Step 5: Solve for x
    x = 46,655,117,560.27/321,410.40
  6. Step 6: Final answer
    x = 145,157.46

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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.