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Finding the Fourth Proportional to 422,954.83, 634,598.39 and 186,131.44

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Solution

The fourth proportional to 422,954.83, 634,598.39 and 186,131.44 is: 279,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,954.83 : 634,598.39 = 186,131.44 : x
  2. Step 2: Convert to fraction form
    422,954.83/634,598.39 = 186,131.44/x
  3. Step 3: Cross multiply
    422,954.83x = 634,598.39 × 186,131.44
  4. Step 4: Simplify right side
    422,954.83x = 118,118,711,031.21
  5. Step 5: Solve for x
    x = 118,118,711,031.21/422,954.83
  6. Step 6: Final answer
    x = 279,270.28

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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.