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Finding the Fourth Proportional to 291,819.51, 437,843.48 and 114,295.86

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Solution

The fourth proportional to 291,819.51, 437,843.48 and 114,295.86 is: 171,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,819.51 : 437,843.48 = 114,295.86 : x
  2. Step 2: Convert to fraction form
    291,819.51/437,843.48 = 114,295.86/x
  3. Step 3: Cross multiply
    291,819.51x = 437,843.48 × 114,295.86
  4. Step 4: Simplify right side
    291,819.51x = 50,043,696,520.51
  5. Step 5: Solve for x
    x = 50,043,696,520.51/291,819.51
  6. Step 6: Final answer
    x = 171,488.52

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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.