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Finding the Fourth Proportional to 331,446.94, 457,396.77 and 180,543.94

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Solution

The fourth proportional to 331,446.94, 457,396.77 and 180,543.94 is: 249,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,446.94 : 457,396.77 = 180,543.94 : x
  2. Step 2: Convert to fraction form
    331,446.94/457,396.77 = 180,543.94/x
  3. Step 3: Cross multiply
    331,446.94x = 457,396.77 × 180,543.94
  4. Step 4: Simplify right side
    331,446.94x = 82,580,214,532.62
  5. Step 5: Solve for x
    x = 82,580,214,532.62/331,446.94
  6. Step 6: Final answer
    x = 249,150.63

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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.