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Finding the Fourth Proportional to 599,027.09, 825,252.54 and 417,409.49

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Solution

The fourth proportional to 599,027.09, 825,252.54 and 417,409.49 is: 575,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,027.09 : 825,252.54 = 417,409.49 : x
  2. Step 2: Convert to fraction form
    599,027.09/825,252.54 = 417,409.49/x
  3. Step 3: Cross multiply
    599,027.09x = 825,252.54 × 417,409.49
  4. Step 4: Simplify right side
    599,027.09x = 344,468,237,716.34
  5. Step 5: Solve for x
    x = 344,468,237,716.34/599,027.09
  6. Step 6: Final answer
    x = 575,046.18

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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.