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Finding the Fourth Proportional to 600,498.28, 827,004.90 and 498,978.28

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Solution

The fourth proportional to 600,498.28, 827,004.90 and 498,978.28 is: 687,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,498.28 : 827,004.90 = 498,978.28 : x
  2. Step 2: Convert to fraction form
    600,498.28/827,004.90 = 498,978.28/x
  3. Step 3: Cross multiply
    600,498.28x = 827,004.90 × 498,978.28
  4. Step 4: Simplify right side
    600,498.28x = 412,657,482,553.57
  5. Step 5: Solve for x
    x = 412,657,482,553.57/600,498.28
  6. Step 6: Final answer
    x = 687,191.78

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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.