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Finding the Fourth Proportional to 271,042.80, 406,564.20 and 176,564.40

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Solution

The fourth proportional to 271,042.80, 406,564.20 and 176,564.40 is: 264,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,042.80 : 406,564.20 = 176,564.40 : x
  2. Step 2: Convert to fraction form
    271,042.80/406,564.20 = 176,564.40/x
  3. Step 3: Cross multiply
    271,042.80x = 406,564.20 × 176,564.40
  4. Step 4: Simplify right side
    271,042.80x = 71,784,764,034.48
  5. Step 5: Solve for x
    x = 71,784,764,034.48/271,042.80
  6. Step 6: Final answer
    x = 264,846.60

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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.