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Finding the Fourth Proportional to 429,851.43, 593,167.77 and 238,853.43

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Solution

The fourth proportional to 429,851.43, 593,167.77 and 238,853.43 is: 329,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,851.43 : 593,167.77 = 238,853.43 : x
  2. Step 2: Convert to fraction form
    429,851.43/593,167.77 = 238,853.43/x
  3. Step 3: Cross multiply
    429,851.43x = 593,167.77 × 238,853.43
  4. Step 4: Simplify right side
    429,851.43x = 141,680,156,429.95
  5. Step 5: Solve for x
    x = 141,680,156,429.95/429,851.43
  6. Step 6: Final answer
    x = 329,602.62

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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.