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Finding the Fourth Proportional to 291,690.40, 437,584.20 and 114,203.20

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Solution

The fourth proportional to 291,690.40, 437,584.20 and 114,203.20 is: 171,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,690.40 : 437,584.20 = 114,203.20 : x
  2. Step 2: Convert to fraction form
    291,690.40/437,584.20 = 114,203.20/x
  3. Step 3: Cross multiply
    291,690.40x = 437,584.20 × 114,203.20
  4. Step 4: Simplify right side
    291,690.40x = 49,973,515,909.44
  5. Step 5: Solve for x
    x = 49,973,515,909.44/291,690.40
  6. Step 6: Final answer
    x = 171,323.83

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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.