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Finding the Fourth Proportional to 429,673.88, 644,465.46 and 114,162.68

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Solution

The fourth proportional to 429,673.88, 644,465.46 and 114,162.68 is: 171,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,673.88 : 644,465.46 = 114,162.68 : x
  2. Step 2: Convert to fraction form
    429,673.88/644,465.46 = 114,162.68/x
  3. Step 3: Cross multiply
    429,673.88x = 644,465.46 × 114,162.68
  4. Step 4: Simplify right side
    429,673.88x = 73,573,904,081.03
  5. Step 5: Solve for x
    x = 73,573,904,081.03/429,673.88
  6. Step 6: Final answer
    x = 171,231.97

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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.