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Finding the Fourth Proportional to 577,663.56, 866,161.82 and 178,197.08

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Solution

The fourth proportional to 577,663.56, 866,161.82 and 178,197.08 is: 267,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,663.56 : 866,161.82 = 178,197.08 : x
  2. Step 2: Convert to fraction form
    577,663.56/866,161.82 = 178,197.08/x
  3. Step 3: Cross multiply
    577,663.56x = 866,161.82 × 178,197.08
  4. Step 4: Simplify right side
    577,663.56x = 154,347,501,909.69
  5. Step 5: Solve for x
    x = 154,347,501,909.69/577,663.56
  6. Step 6: Final answer
    x = 267,192.73

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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.