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Finding the Fourth Proportional to 429,871.38, 593,236.90 and 238,892.82

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Solution

The fourth proportional to 429,871.38, 593,236.90 and 238,892.82 is: 329,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,871.38 : 593,236.90 = 238,892.82 : x
  2. Step 2: Convert to fraction form
    429,871.38/593,236.90 = 238,892.82/x
  3. Step 3: Cross multiply
    429,871.38x = 593,236.90 × 238,892.82
  4. Step 4: Simplify right side
    429,871.38x = 141,720,035,969.06
  5. Step 5: Solve for x
    x = 141,720,035,969.06/429,871.38
  6. Step 6: Final answer
    x = 329,680.09

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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.