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Finding the Fourth Proportional to 429,887.73, 644,837.79 and 163,662.85

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Solution

The fourth proportional to 429,887.73, 644,837.79 and 163,662.85 is: 245,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,887.73 : 644,837.79 = 163,662.85 : x
  2. Step 2: Convert to fraction form
    429,887.73/644,837.79 = 163,662.85/x
  3. Step 3: Cross multiply
    429,887.73x = 644,837.79 × 163,662.85
  4. Step 4: Simplify right side
    429,887.73x = 105,535,992,351.59
  5. Step 5: Solve for x
    x = 105,535,992,351.59/429,887.73
  6. Step 6: Final answer
    x = 245,496.64

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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.