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Finding the Fourth Proportional to 320,738.64, 481,157.16 and 232,657.20

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Solution

The fourth proportional to 320,738.64, 481,157.16 and 232,657.20 is: 349,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,738.64 : 481,157.16 = 232,657.20 : x
  2. Step 2: Convert to fraction form
    320,738.64/481,157.16 = 232,657.20/x
  3. Step 3: Cross multiply
    320,738.64x = 481,157.16 × 232,657.20
  4. Step 4: Simplify right side
    320,738.64x = 111,944,677,605.55
  5. Step 5: Solve for x
    x = 111,944,677,605.55/320,738.64
  6. Step 6: Final answer
    x = 349,021.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.