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Finding the Fourth Proportional to 305,138.35, 457,644.96 and 115,533.30

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Solution

The fourth proportional to 305,138.35, 457,644.96 and 115,533.30 is: 173,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,138.35 : 457,644.96 = 115,533.30 : x
  2. Step 2: Convert to fraction form
    305,138.35/457,644.96 = 115,533.30/x
  3. Step 3: Cross multiply
    305,138.35x = 457,644.96 × 115,533.30
  4. Step 4: Simplify right side
    305,138.35x = 52,873,231,879.50
  5. Step 5: Solve for x
    x = 52,873,231,879.50/305,138.35
  6. Step 6: Final answer
    x = 173,276.26

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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.