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Finding the Fourth Proportional to 323,378.98, 443,031.32 and 311,258.10

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Solution

The fourth proportional to 323,378.98, 443,031.32 and 311,258.10 is: 426,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,378.98 : 443,031.32 = 311,258.10 : x
  2. Step 2: Convert to fraction form
    323,378.98/443,031.32 = 311,258.10/x
  3. Step 3: Cross multiply
    323,378.98x = 443,031.32 × 311,258.10
  4. Step 4: Simplify right side
    323,378.98x = 137,897,086,903.69
  5. Step 5: Solve for x
    x = 137,897,086,903.69/323,378.98
  6. Step 6: Final answer
    x = 426,425.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.