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Finding the Fourth Proportional to 331,842.80, 498,023.40 and 154,371.80

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Solution

The fourth proportional to 331,842.80, 498,023.40 and 154,371.80 is: 231,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,842.80 : 498,023.40 = 154,371.80 : x
  2. Step 2: Convert to fraction form
    331,842.80/498,023.40 = 154,371.80/x
  3. Step 3: Cross multiply
    331,842.80x = 498,023.40 × 154,371.80
  4. Step 4: Simplify right side
    331,842.80x = 76,880,768,700.12
  5. Step 5: Solve for x
    x = 76,880,768,700.12/331,842.80
  6. Step 6: Final answer
    x = 231,678.28

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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.