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Finding the Fourth Proportional to 429,910.29, 644,864.65 and 114,367.20

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Solution

The fourth proportional to 429,910.29, 644,864.65 and 114,367.20 is: 171,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,910.29 : 644,864.65 = 114,367.20 : x
  2. Step 2: Convert to fraction form
    429,910.29/644,864.65 = 114,367.20/x
  3. Step 3: Cross multiply
    429,910.29x = 644,864.65 × 114,367.20
  4. Step 4: Simplify right side
    429,910.29x = 73,751,364,399.48
  5. Step 5: Solve for x
    x = 73,751,364,399.48/429,910.29
  6. Step 6: Final answer
    x = 171,550.59

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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.