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Finding the Fourth Proportional to 327,353.40, 491,030.10 and 256,494.60

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Solution

The fourth proportional to 327,353.40, 491,030.10 and 256,494.60 is: 384,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,353.40 : 491,030.10 = 256,494.60 : x
  2. Step 2: Convert to fraction form
    327,353.40/491,030.10 = 256,494.60/x
  3. Step 3: Cross multiply
    327,353.40x = 491,030.10 × 256,494.60
  4. Step 4: Simplify right side
    327,353.40x = 125,946,569,087.46
  5. Step 5: Solve for x
    x = 125,946,569,087.46/327,353.40
  6. Step 6: Final answer
    x = 384,741.90

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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.