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Finding the Fourth Proportional to 429,816.18, 644,492.61 and 329,729.34

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Solution

The fourth proportional to 429,816.18, 644,492.61 and 329,729.34 is: 494,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,816.18 : 644,492.61 = 329,729.34 : x
  2. Step 2: Convert to fraction form
    429,816.18/644,492.61 = 329,729.34/x
  3. Step 3: Cross multiply
    429,816.18x = 644,492.61 × 329,729.34
  4. Step 4: Simplify right side
    429,816.18x = 212,508,122,930.18
  5. Step 5: Solve for x
    x = 212,508,122,930.18/429,816.18
  6. Step 6: Final answer
    x = 494,416.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.