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Finding the Fourth Proportional to 577,661.56, 866,158.81 and 178,195.08

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Solution

The fourth proportional to 577,661.56, 866,158.81 and 178,195.08 is: 267,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,661.56 : 866,158.81 = 178,195.08 : x
  2. Step 2: Convert to fraction form
    577,661.56/866,158.81 = 178,195.08/x
  3. Step 3: Cross multiply
    577,661.56x = 866,158.81 × 178,195.08
  4. Step 4: Simplify right side
    577,661.56x = 154,345,238,440.66
  5. Step 5: Solve for x
    x = 154,345,238,440.66/577,661.56
  6. Step 6: Final answer
    x = 267,189.73

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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.