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Finding the Fourth Proportional to 327,954.60, 492,047.10 and 117,599.40

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Solution

The fourth proportional to 327,954.60, 492,047.10 and 117,599.40 is: 176,440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,954.60 : 492,047.10 = 117,599.40 : x
  2. Step 2: Convert to fraction form
    327,954.60/492,047.10 = 117,599.40/x
  3. Step 3: Cross multiply
    327,954.60x = 492,047.10 × 117,599.40
  4. Step 4: Simplify right side
    327,954.60x = 57,864,443,731.74
  5. Step 5: Solve for x
    x = 57,864,443,731.74/327,954.60
  6. Step 6: Final answer
    x = 176,440.41

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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.