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Finding the Fourth Proportional to 497,100.52, 685,780.41 and 335,896.75

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Solution

The fourth proportional to 497,100.52, 685,780.41 and 335,896.75 is: 463,390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,100.52 : 685,780.41 = 335,896.75 : x
  2. Step 2: Convert to fraction form
    497,100.52/685,780.41 = 335,896.75/x
  3. Step 3: Cross multiply
    497,100.52x = 685,780.41 × 335,896.75
  4. Step 4: Simplify right side
    497,100.52x = 230,351,410,932.67
  5. Step 5: Solve for x
    x = 230,351,410,932.67/497,100.52
  6. Step 6: Final answer
    x = 463,390.00

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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.