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Finding the Fourth Proportional to 476,505.27, 714,204.02 and 176,794.68

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Solution

The fourth proportional to 476,505.27, 714,204.02 and 176,794.68 is: 264,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,505.27 : 714,204.02 = 176,794.68 : x
  2. Step 2: Convert to fraction form
    476,505.27/714,204.02 = 176,794.68/x
  3. Step 3: Cross multiply
    476,505.27x = 714,204.02 × 176,794.68
  4. Step 4: Simplify right side
    476,505.27x = 126,267,469,827.09
  5. Step 5: Solve for x
    x = 126,267,469,827.09/476,505.27
  6. Step 6: Final answer
    x = 264,986.51

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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.