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Finding the Fourth Proportional to 415,399.92, 623,104.82 and 115,862.28

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Solution

The fourth proportional to 415,399.92, 623,104.82 and 115,862.28 is: 173,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,399.92 : 623,104.82 = 115,862.28 : x
  2. Step 2: Convert to fraction form
    415,399.92/623,104.82 = 115,862.28/x
  3. Step 3: Cross multiply
    415,399.92x = 623,104.82 × 115,862.28
  4. Step 4: Simplify right side
    415,399.92x = 72,194,344,544.88
  5. Step 5: Solve for x
    x = 72,194,344,544.88/415,399.92
  6. Step 6: Final answer
    x = 173,794.80

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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.