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Finding the Fourth Proportional to 429,889.23, 593,854.25 and 344,415.80

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Solution

The fourth proportional to 429,889.23, 593,854.25 and 344,415.80 is: 475,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,889.23 : 593,854.25 = 344,415.80 : x
  2. Step 2: Convert to fraction form
    429,889.23/593,854.25 = 344,415.80/x
  3. Step 3: Cross multiply
    429,889.23x = 593,854.25 × 344,415.80
  4. Step 4: Simplify right side
    429,889.23x = 204,532,786,597.15
  5. Step 5: Solve for x
    x = 204,532,786,597.15/429,889.23
  6. Step 6: Final answer
    x = 475,780.21

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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.