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Finding the Fourth Proportional to 429,782.95, 593,111.46 and 236,189.44

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Solution

The fourth proportional to 429,782.95, 593,111.46 and 236,189.44 is: 325,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,782.95 : 593,111.46 = 236,189.44 : x
  2. Step 2: Convert to fraction form
    429,782.95/593,111.46 = 236,189.44/x
  3. Step 3: Cross multiply
    429,782.95x = 593,111.46 × 236,189.44
  4. Step 4: Simplify right side
    429,782.95x = 140,086,663,594.98
  5. Step 5: Solve for x
    x = 140,086,663,594.98/429,782.95
  6. Step 6: Final answer
    x = 325,947.47

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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.