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Finding the Fourth Proportional to 429,886.66, 593,198.49 and 238,869.22

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Solution

The fourth proportional to 429,886.66, 593,198.49 and 238,869.22 is: 329,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,886.66 : 593,198.49 = 238,869.22 : x
  2. Step 2: Convert to fraction form
    429,886.66/593,198.49 = 238,869.22/x
  3. Step 3: Cross multiply
    429,886.66x = 593,198.49 × 238,869.22
  4. Step 4: Simplify right side
    429,886.66x = 141,696,860,611.48
  5. Step 5: Solve for x
    x = 141,696,860,611.48/429,886.66
  6. Step 6: Final answer
    x = 329,614.46

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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.