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Finding the Fourth Proportional to 577,694.32, 866,461.32 and 178,348.24

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Solution

The fourth proportional to 577,694.32, 866,461.32 and 178,348.24 is: 267,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,694.32 : 866,461.32 = 178,348.24 : x
  2. Step 2: Convert to fraction form
    577,694.32/866,461.32 = 178,348.24/x
  3. Step 3: Cross multiply
    577,694.32x = 866,461.32 × 178,348.24
  4. Step 4: Simplify right side
    577,694.32x = 154,531,851,450.08
  5. Step 5: Solve for x
    x = 154,531,851,450.08/577,694.32
  6. Step 6: Final answer
    x = 267,497.61

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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.