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Finding the Fourth Proportional to 509,536.05, 703,168.49 and 280,103.00

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Solution

The fourth proportional to 509,536.05, 703,168.49 and 280,103.00 is: 386,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,536.05 : 703,168.49 = 280,103.00 : x
  2. Step 2: Convert to fraction form
    509,536.05/703,168.49 = 280,103.00/x
  3. Step 3: Cross multiply
    509,536.05x = 703,168.49 × 280,103.00
  4. Step 4: Simplify right side
    509,536.05x = 196,959,598,638.11
  5. Step 5: Solve for x
    x = 196,959,598,638.11/509,536.05
  6. Step 6: Final answer
    x = 386,546.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.