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Finding the Fourth Proportional to 275,731.71, 413,803.44 and 204,818.10

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Solution

The fourth proportional to 275,731.71, 413,803.44 and 204,818.10 is: 307,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,731.71 : 413,803.44 = 204,818.10 : x
  2. Step 2: Convert to fraction form
    275,731.71/413,803.44 = 204,818.10/x
  3. Step 3: Cross multiply
    275,731.71x = 413,803.44 × 204,818.10
  4. Step 4: Simplify right side
    275,731.71x = 84,754,434,354.26
  5. Step 5: Solve for x
    x = 84,754,434,354.26/275,731.71
  6. Step 6: Final answer
    x = 307,380.08

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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.