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Finding the Fourth Proportional to 331,446.75, 457,396.52 and 180,543.75

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Solution

The fourth proportional to 331,446.75, 457,396.52 and 180,543.75 is: 249,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,446.75 : 457,396.52 = 180,543.75 : x
  2. Step 2: Convert to fraction form
    331,446.75/457,396.52 = 180,543.75/x
  3. Step 3: Cross multiply
    331,446.75x = 457,396.52 × 180,543.75
  4. Step 4: Simplify right side
    331,446.75x = 82,580,082,055.03
  5. Step 5: Solve for x
    x = 82,580,082,055.03/331,446.75
  6. Step 6: Final answer
    x = 249,150.38

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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.