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Finding the Fourth Proportional to 577,660.56, 866,157.32 and 178,194.08

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Solution

The fourth proportional to 577,660.56, 866,157.32 and 178,194.08 is: 267,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,660.56 : 866,157.32 = 178,194.08 : x
  2. Step 2: Convert to fraction form
    577,660.56/866,157.32 = 178,194.08/x
  3. Step 3: Cross multiply
    577,660.56x = 866,157.32 × 178,194.08
  4. Step 4: Simplify right side
    577,660.56x = 154,344,101,550.91
  5. Step 5: Solve for x
    x = 154,344,101,550.91/577,660.56
  6. Step 6: Final answer
    x = 267,188.23

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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.