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Finding the Fourth Proportional to 327,920.40, 491,880.60 and 314,096.40

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Solution

The fourth proportional to 327,920.40, 491,880.60 and 314,096.40 is: 471,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,920.40 : 491,880.60 = 314,096.40 : x
  2. Step 2: Convert to fraction form
    327,920.40/491,880.60 = 314,096.40/x
  3. Step 3: Cross multiply
    327,920.40x = 491,880.60 × 314,096.40
  4. Step 4: Simplify right side
    327,920.40x = 154,497,925,689.84
  5. Step 5: Solve for x
    x = 154,497,925,689.84/327,920.40
  6. Step 6: Final answer
    x = 471,144.60

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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.