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Finding the Fourth Proportional to 598,175.91, 825,453.63 and 356,453.10

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Solution

The fourth proportional to 598,175.91, 825,453.63 and 356,453.10 is: 491,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,175.91 : 825,453.63 = 356,453.10 : x
  2. Step 2: Convert to fraction form
    598,175.91/825,453.63 = 356,453.10/x
  3. Step 3: Cross multiply
    598,175.91x = 825,453.63 × 356,453.10
  4. Step 4: Simplify right side
    598,175.91x = 294,235,505,319.75
  5. Step 5: Solve for x
    x = 294,235,505,319.75/598,175.91
  6. Step 6: Final answer
    x = 491,887.92

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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.