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Finding the Fourth Proportional to 598,447.72, 825,744.86 and 356,752.78

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Solution

The fourth proportional to 598,447.72, 825,744.86 and 356,752.78 is: 492,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,447.72 : 825,744.86 = 356,752.78 : x
  2. Step 2: Convert to fraction form
    598,447.72/825,744.86 = 356,752.78/x
  3. Step 3: Cross multiply
    598,447.72x = 825,744.86 × 356,752.78
  4. Step 4: Simplify right side
    598,447.72x = 294,586,774,375.71
  5. Step 5: Solve for x
    x = 294,586,774,375.71/598,447.72
  6. Step 6: Final answer
    x = 492,251.48

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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.