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Finding the Fourth Proportional to 291,046.56, 436,147.44 and 157,813.92

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Solution

The fourth proportional to 291,046.56, 436,147.44 and 157,813.92 is: 236,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,046.56 : 436,147.44 = 157,813.92 : x
  2. Step 2: Convert to fraction form
    291,046.56/436,147.44 = 157,813.92/x
  3. Step 3: Cross multiply
    291,046.56x = 436,147.44 × 157,813.92
  4. Step 4: Simplify right side
    291,046.56x = 68,830,137,204.36
  5. Step 5: Solve for x
    x = 68,830,137,204.36/291,046.56
  6. Step 6: Final answer
    x = 236,491.84

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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.