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Finding the Fourth Proportional to 577,663.94, 866,162.38 and 178,197.45

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Solution

The fourth proportional to 577,663.94, 866,162.38 and 178,197.45 is: 267,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,663.94 : 866,162.38 = 178,197.45 : x
  2. Step 2: Convert to fraction form
    577,663.94/866,162.38 = 178,197.45/x
  3. Step 3: Cross multiply
    577,663.94x = 866,162.38 × 178,197.45
  4. Step 4: Simplify right side
    577,663.94x = 154,347,926,956.44
  5. Step 5: Solve for x
    x = 154,347,926,956.44/577,663.94
  6. Step 6: Final answer
    x = 267,193.29

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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.