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Finding the Fourth Proportional to 497,090.52, 685,766.66 and 335,886.75

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Solution

The fourth proportional to 497,090.52, 685,766.66 and 335,886.75 is: 463,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,090.52 : 685,766.66 = 335,886.75 : x
  2. Step 2: Convert to fraction form
    497,090.52/685,766.66 = 335,886.75/x
  3. Step 3: Cross multiply
    497,090.52x = 685,766.66 × 335,886.75
  4. Step 4: Simplify right side
    497,090.52x = 230,339,933,006.32
  5. Step 5: Solve for x
    x = 230,339,933,006.32/497,090.52
  6. Step 6: Final answer
    x = 463,376.23

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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.