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Finding the Fourth Proportional to 429,858.46, 593,224.86 and 238,873.42

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Solution

The fourth proportional to 429,858.46, 593,224.86 and 238,873.42 is: 329,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,858.46 : 593,224.86 = 238,873.42 : x
  2. Step 2: Convert to fraction form
    429,858.46/593,224.86 = 238,873.42/x
  3. Step 3: Cross multiply
    429,858.46x = 593,224.86 × 238,873.42
  4. Step 4: Simplify right side
    429,858.46x = 141,705,651,137.22
  5. Step 5: Solve for x
    x = 141,705,651,137.22/429,858.46
  6. Step 6: Final answer
    x = 329,656.54

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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.