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Finding the Fourth Proportional to 429,672.88, 644,463.96 and 114,161.68

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Solution

The fourth proportional to 429,672.88, 644,463.96 and 114,161.68 is: 171,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,672.88 : 644,463.96 = 114,161.68 : x
  2. Step 2: Convert to fraction form
    429,672.88/644,463.96 = 114,161.68/x
  3. Step 3: Cross multiply
    429,672.88x = 644,463.96 × 114,161.68
  4. Step 4: Simplify right side
    429,672.88x = 73,573,088,373.05
  5. Step 5: Solve for x
    x = 73,573,088,373.05/429,672.88
  6. Step 6: Final answer
    x = 171,230.47

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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.