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Finding the Fourth Proportional to 429,614.28, 644,244.03 and 186,470.91

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Solution

The fourth proportional to 429,614.28, 644,244.03 and 186,470.91 is: 279,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,614.28 : 644,244.03 = 186,470.91 : x
  2. Step 2: Convert to fraction form
    429,614.28/644,244.03 = 186,470.91/x
  3. Step 3: Cross multiply
    429,614.28x = 644,244.03 × 186,470.91
  4. Step 4: Simplify right side
    429,614.28x = 120,132,770,536.17
  5. Step 5: Solve for x
    x = 120,132,770,536.17/429,614.28
  6. Step 6: Final answer
    x = 279,629.37

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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.