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Finding the Fourth Proportional to 327,920.64, 492,023.90 and 114,841.41

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Solution

The fourth proportional to 327,920.64, 492,023.90 and 114,841.41 is: 172,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,920.64 : 492,023.90 = 114,841.41 : x
  2. Step 2: Convert to fraction form
    327,920.64/492,023.90 = 114,841.41/x
  3. Step 3: Cross multiply
    327,920.64x = 492,023.90 × 114,841.41
  4. Step 4: Simplify right side
    327,920.64x = 56,504,719,639.35
  5. Step 5: Solve for x
    x = 56,504,719,639.35/327,920.64
  6. Step 6: Final answer
    x = 172,312.18

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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.