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Finding the Fourth Proportional to 329,865.08, 494,403.90 and 180,143

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Solution

The fourth proportional to 329,865.08, 494,403.90 and 180,143 is: 269,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,865.08 : 494,403.90 = 180,143 : x
  2. Step 2: Convert to fraction form
    329,865.08/494,403.90 = 180,143/x
  3. Step 3: Cross multiply
    329,865.08x = 494,403.90 × 180,143
  4. Step 4: Simplify right side
    329,865.08x = 89,063,401,757.70
  5. Step 5: Solve for x
    x = 89,063,401,757.70/329,865.08
  6. Step 6: Final answer
    x = 269,999.49

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