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Finding the Fourth Proportional to 443,638.89, 665,513.46 and 173,732.16

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Solution

The fourth proportional to 443,638.89, 665,513.46 and 173,732.16 is: 260,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,638.89 : 665,513.46 = 173,732.16 : x
  2. Step 2: Convert to fraction form
    443,638.89/665,513.46 = 173,732.16/x
  3. Step 3: Cross multiply
    443,638.89x = 665,513.46 × 173,732.16
  4. Step 4: Simplify right side
    443,638.89x = 115,621,090,914.87
  5. Step 5: Solve for x
    x = 115,621,090,914.87/443,638.89
  6. Step 6: Final answer
    x = 260,619.83

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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.