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Finding the Fourth Proportional to 599,716.96, 827,073.46 and 497,580.64

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Solution

The fourth proportional to 599,716.96, 827,073.46 and 497,580.64 is: 686,216.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,716.96 : 827,073.46 = 497,580.64 : x
  2. Step 2: Convert to fraction form
    599,716.96/827,073.46 = 497,580.64/x
  3. Step 3: Cross multiply
    599,716.96x = 827,073.46 × 497,580.64
  4. Step 4: Simplify right side
    599,716.96x = 411,535,741,553.81
  5. Step 5: Solve for x
    x = 411,535,741,553.81/599,716.96
  6. Step 6: Final answer
    x = 686,216.61

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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.