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Finding the Fourth Proportional to 415,811.43, 623,732.73 and 188,063.73

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Solution

The fourth proportional to 415,811.43, 623,732.73 and 188,063.73 is: 282,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,811.43 : 623,732.73 = 188,063.73 : x
  2. Step 2: Convert to fraction form
    415,811.43/623,732.73 = 188,063.73/x
  3. Step 3: Cross multiply
    415,811.43x = 623,732.73 × 188,063.73
  4. Step 4: Simplify right side
    415,811.43x = 117,301,503,726.88
  5. Step 5: Solve for x
    x = 117,301,503,726.88/415,811.43
  6. Step 6: Final answer
    x = 282,102.64

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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.