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Finding the Fourth Proportional to 331,840.54, 457,940.40 and 180,937.54

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Solution

The fourth proportional to 331,840.54, 457,940.40 and 180,937.54 is: 249,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,840.54 : 457,940.40 = 180,937.54 : x
  2. Step 2: Convert to fraction form
    331,840.54/457,940.40 = 180,937.54/x
  3. Step 3: Cross multiply
    331,840.54x = 457,940.40 × 180,937.54
  4. Step 4: Simplify right side
    331,840.54x = 82,858,606,248.23
  5. Step 5: Solve for x
    x = 82,858,606,248.23/331,840.54
  6. Step 6: Final answer
    x = 249,694.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.