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Finding the Fourth Proportional to 497,067.96, 686,358.24 and 405,201.60

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Solution

The fourth proportional to 497,067.96, 686,358.24 and 405,201.60 is: 559,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,067.96 : 686,358.24 = 405,201.60 : x
  2. Step 2: Convert to fraction form
    497,067.96/686,358.24 = 405,201.60/x
  3. Step 3: Cross multiply
    497,067.96x = 686,358.24 × 405,201.60
  4. Step 4: Simplify right side
    497,067.96x = 278,113,457,021.18
  5. Step 5: Solve for x
    x = 278,113,457,021.18/497,067.96
  6. Step 6: Final answer
    x = 559,507.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.