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Finding the Fourth Proportional to 323,652.84, 485,035.92 and 205,407.16

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Solution

The fourth proportional to 323,652.84, 485,035.92 and 205,407.16 is: 307,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,652.84 : 485,035.92 = 205,407.16 : x
  2. Step 2: Convert to fraction form
    323,652.84/485,035.92 = 205,407.16/x
  3. Step 3: Cross multiply
    323,652.84x = 485,035.92 × 205,407.16
  4. Step 4: Simplify right side
    323,652.84x = 99,629,850,825.19
  5. Step 5: Solve for x
    x = 99,629,850,825.19/323,652.84
  6. Step 6: Final answer
    x = 307,829.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.