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Finding the Fourth Proportional to 429,960.42, 593,365.50 and 238,977

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Solution

The fourth proportional to 429,960.42, 593,365.50 and 238,977 is: 329,799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,960.42 : 593,365.50 = 238,977 : x
  2. Step 2: Convert to fraction form
    429,960.42/593,365.50 = 238,977/x
  3. Step 3: Cross multiply
    429,960.42x = 593,365.50 × 238,977
  4. Step 4: Simplify right side
    429,960.42x = 141,800,707,093.50
  5. Step 5: Solve for x
    x = 141,800,707,093.50/429,960.42
  6. Step 6: Final answer
    x = 329,799.44

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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.