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Finding the Fourth Proportional to 429,726.15, 588,437.57 and 412,786.35

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Solution

The fourth proportional to 429,726.15, 588,437.57 and 412,786.35 is: 565,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,726.15 : 588,437.57 = 412,786.35 : x
  2. Step 2: Convert to fraction form
    429,726.15/588,437.57 = 412,786.35/x
  3. Step 3: Cross multiply
    429,726.15x = 588,437.57 × 412,786.35
  4. Step 4: Simplify right side
    429,726.15x = 242,898,997,755.14
  5. Step 5: Solve for x
    x = 242,898,997,755.14/429,726.15
  6. Step 6: Final answer
    x = 565,241.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.