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Finding the Fourth Proportional to 429,891.23, 593,857.01 and 344,417.80

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Solution

The fourth proportional to 429,891.23, 593,857.01 and 344,417.80 is: 475,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,891.23 : 593,857.01 = 344,417.80 : x
  2. Step 2: Convert to fraction form
    429,891.23/593,857.01 = 344,417.80/x
  3. Step 3: Cross multiply
    429,891.23x = 593,857.01 × 344,417.80
  4. Step 4: Simplify right side
    429,891.23x = 204,534,924,898.78
  5. Step 5: Solve for x
    x = 204,534,924,898.78/429,891.23
  6. Step 6: Final answer
    x = 475,782.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.