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Finding the Fourth Proportional to 329,316.87, 493,638.78 and 186,861.19

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Solution

The fourth proportional to 329,316.87, 493,638.78 and 186,861.19 is: 280,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,316.87 : 493,638.78 = 186,861.19 : x
  2. Step 2: Convert to fraction form
    329,316.87/493,638.78 = 186,861.19/x
  3. Step 3: Cross multiply
    329,316.87x = 493,638.78 × 186,861.19
  4. Step 4: Simplify right side
    329,316.87x = 92,241,930,421.79
  5. Step 5: Solve for x
    x = 92,241,930,421.79/329,316.87
  6. Step 6: Final answer
    x = 280,100.84

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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.