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Finding the Fourth Proportional to 577,771.47, 866,676.33 and 198,688.41

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Solution

The fourth proportional to 577,771.47, 866,676.33 and 198,688.41 is: 298,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,771.47 : 866,676.33 = 198,688.41 : x
  2. Step 2: Convert to fraction form
    577,771.47/866,676.33 = 198,688.41/x
  3. Step 3: Cross multiply
    577,771.47x = 866,676.33 × 198,688.41
  4. Step 4: Simplify right side
    577,771.47x = 172,198,541,992.34
  5. Step 5: Solve for x
    x = 172,198,541,992.34/577,771.47
  6. Step 6: Final answer
    x = 298,039.19

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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.