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Finding the Fourth Proportional to 597,083.89, 823,842.34 and 500,677.69

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Solution

The fourth proportional to 597,083.89, 823,842.34 and 500,677.69 is: 690,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,083.89 : 823,842.34 = 500,677.69 : x
  2. Step 2: Convert to fraction form
    597,083.89/823,842.34 = 500,677.69/x
  3. Step 3: Cross multiply
    597,083.89x = 823,842.34 × 500,677.69
  4. Step 4: Simplify right side
    597,083.89x = 412,479,479,715.40
  5. Step 5: Solve for x
    x = 412,479,479,715.40/597,083.89
  6. Step 6: Final answer
    x = 690,823.33

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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.