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Finding the Fourth Proportional to 512,018.28, 706,584.04 and 297,284.04

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Solution

The fourth proportional to 512,018.28, 706,584.04 and 297,284.04 is: 410,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,018.28 : 706,584.04 = 297,284.04 : x
  2. Step 2: Convert to fraction form
    512,018.28/706,584.04 = 297,284.04/x
  3. Step 3: Cross multiply
    512,018.28x = 706,584.04 × 297,284.04
  4. Step 4: Simplify right side
    512,018.28x = 210,056,158,010.72
  5. Step 5: Solve for x
    x = 210,056,158,010.72/512,018.28
  6. Step 6: Final answer
    x = 410,251.29

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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.