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Finding the Fourth Proportional to 577,771.23, 866,753.66 and 198,676.65

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Solution

The fourth proportional to 577,771.23, 866,753.66 and 198,676.65 is: 298,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,771.23 : 866,753.66 = 198,676.65 : x
  2. Step 2: Convert to fraction form
    577,771.23/866,753.66 = 198,676.65/x
  3. Step 3: Cross multiply
    577,771.23x = 866,753.66 × 198,676.65
  4. Step 4: Simplify right side
    577,771.23x = 172,203,712,415.57
  5. Step 5: Solve for x
    x = 172,203,712,415.57/577,771.23
  6. Step 6: Final answer
    x = 298,048.27

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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.