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Finding the Fourth Proportional to 357,894.01, 493,906.44 and 204,959.53

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Solution

The fourth proportional to 357,894.01, 493,906.44 and 204,959.53 is: 282,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,894.01 : 493,906.44 = 204,959.53 : x
  2. Step 2: Convert to fraction form
    357,894.01/493,906.44 = 204,959.53/x
  3. Step 3: Cross multiply
    357,894.01x = 493,906.44 × 204,959.53
  4. Step 4: Simplify right side
    357,894.01x = 101,230,831,806.37
  5. Step 5: Solve for x
    x = 101,230,831,806.37/357,894.01
  6. Step 6: Final answer
    x = 282,851.43

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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.