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Finding the Fourth Proportional to 301,260, 451,454 and 166,350.56

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Solution

The fourth proportional to 301,260, 451,454 and 166,350.56 is: 249,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,260 : 451,454 = 166,350.56 : x
  2. Step 2: Convert to fraction form
    301,260/451,454 = 166,350.56/x
  3. Step 3: Cross multiply
    301,260x = 451,454 × 166,350.56
  4. Step 4: Simplify right side
    301,260x = 75,099,625,714.24
  5. Step 5: Solve for x
    x = 75,099,625,714.24/301,260
  6. Step 6: Final answer
    x = 249,285.09

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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.