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Finding the Fourth Proportional to 509,434.97, 703,027.52 and 280,013.47

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Solution

The fourth proportional to 509,434.97, 703,027.52 and 280,013.47 is: 386,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,434.97 : 703,027.52 = 280,013.47 : x
  2. Step 2: Convert to fraction form
    509,434.97/703,027.52 = 280,013.47/x
  3. Step 3: Cross multiply
    509,434.97x = 703,027.52 × 280,013.47
  4. Step 4: Simplify right side
    509,434.97x = 196,857,173,273.11
  5. Step 5: Solve for x
    x = 196,857,173,273.11/509,434.97
  6. Step 6: Final answer
    x = 386,422.58

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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.