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Finding the Fourth Proportional to 823,099, 1,135,920.74 and 460,501.24

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Solution

The fourth proportional to 823,099, 1,135,920.74 and 460,501.24 is: 635,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,099 : 1,135,920.74 = 460,501.24 : x
  2. Step 2: Convert to fraction form
    823,099/1,135,920.74 = 460,501.24/x
  3. Step 3: Cross multiply
    823,099x = 1,135,920.74 × 460,501.24
  4. Step 4: Simplify right side
    823,099x = 523,092,909,311.72
  5. Step 5: Solve for x
    x = 523,092,909,311.72/823,099
  6. Step 6: Final answer
    x = 635,516.40

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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.