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Finding the Fourth Proportional to 327,738.40, 491,607.60 and 282,637.60

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Solution

The fourth proportional to 327,738.40, 491,607.60 and 282,637.60 is: 423,956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,738.40 : 491,607.60 = 282,637.60 : x
  2. Step 2: Convert to fraction form
    327,738.40/491,607.60 = 282,637.60/x
  3. Step 3: Cross multiply
    327,738.40x = 491,607.60 × 282,637.60
  4. Step 4: Simplify right side
    327,738.40x = 138,946,792,205.76
  5. Step 5: Solve for x
    x = 138,946,792,205.76/327,738.40
  6. Step 6: Final answer
    x = 423,956.40

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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.