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Finding the Fourth Proportional to 476,131.92, 714,239.82 and 176,615.70

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Solution

The fourth proportional to 476,131.92, 714,239.82 and 176,615.70 is: 264,939.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,131.92 : 714,239.82 = 176,615.70 : x
  2. Step 2: Convert to fraction form
    476,131.92/714,239.82 = 176,615.70/x
  3. Step 3: Cross multiply
    476,131.92x = 714,239.82 × 176,615.70
  4. Step 4: Simplify right side
    476,131.92x = 126,145,965,777.17
  5. Step 5: Solve for x
    x = 126,145,965,777.17/476,131.92
  6. Step 6: Final answer
    x = 264,939.11

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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.