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Finding the Fourth Proportional to 431,333.80, 647,583.90 and 273,869.80

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Solution

The fourth proportional to 431,333.80, 647,583.90 and 273,869.80 is: 411,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,333.80 : 647,583.90 = 273,869.80 : x
  2. Step 2: Convert to fraction form
    431,333.80/647,583.90 = 273,869.80/x
  3. Step 3: Cross multiply
    431,333.80x = 647,583.90 × 273,869.80
  4. Step 4: Simplify right side
    431,333.80x = 177,353,673,176.22
  5. Step 5: Solve for x
    x = 177,353,673,176.22/431,333.80
  6. Step 6: Final answer
    x = 411,175.00

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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.