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Finding the Fourth Proportional to 599,060.90, 825,299.06 and 417,443.24

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Solution

The fourth proportional to 599,060.90, 825,299.06 and 417,443.24 is: 575,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,060.90 : 825,299.06 = 417,443.24 : x
  2. Step 2: Convert to fraction form
    599,060.90/825,299.06 = 417,443.24/x
  3. Step 3: Cross multiply
    599,060.90x = 825,299.06 × 417,443.24
  4. Step 4: Simplify right side
    599,060.90x = 344,515,507,361.64
  5. Step 5: Solve for x
    x = 344,515,507,361.64/599,060.90
  6. Step 6: Final answer
    x = 575,092.63

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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.