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Finding the Fourth Proportional to 429,606.56, 644,359.35 and 114,087.80

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Solution

The fourth proportional to 429,606.56, 644,359.35 and 114,087.80 is: 171,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,606.56 : 644,359.35 = 114,087.80 : x
  2. Step 2: Convert to fraction form
    429,606.56/644,359.35 = 114,087.80/x
  3. Step 3: Cross multiply
    429,606.56x = 644,359.35 × 114,087.80
  4. Step 4: Simplify right side
    429,606.56x = 73,513,540,650.93
  5. Step 5: Solve for x
    x = 73,513,540,650.93/429,606.56
  6. Step 6: Final answer
    x = 171,118.29

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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.