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Finding the Fourth Proportional to 331,654.69, 457,683.92 and 180,751.69

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Solution

The fourth proportional to 331,654.69, 457,683.92 and 180,751.69 is: 249,437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,654.69 : 457,683.92 = 180,751.69 : x
  2. Step 2: Convert to fraction form
    331,654.69/457,683.92 = 180,751.69/x
  3. Step 3: Cross multiply
    331,654.69x = 457,683.92 × 180,751.69
  4. Step 4: Simplify right side
    331,654.69x = 82,727,142,025.82
  5. Step 5: Solve for x
    x = 82,727,142,025.82/331,654.69
  6. Step 6: Final answer
    x = 249,437.58

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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.