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Finding the Fourth Proportional to 429,958.44, 644,952.22 and 114,415.65

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Solution

The fourth proportional to 429,958.44, 644,952.22 and 114,415.65 is: 171,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,958.44 : 644,952.22 = 114,415.65 : x
  2. Step 2: Convert to fraction form
    429,958.44/644,952.22 = 114,415.65/x
  3. Step 3: Cross multiply
    429,958.44x = 644,952.22 × 114,415.65
  4. Step 4: Simplify right side
    429,958.44x = 73,792,623,673.40
  5. Step 5: Solve for x
    x = 73,792,623,673.40/429,958.44
  6. Step 6: Final answer
    x = 171,627.34

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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.