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Finding the Fourth Proportional to 351,701.54, 485,293.28 and 208,438.46

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Solution

The fourth proportional to 351,701.54, 485,293.28 and 208,438.46 is: 287,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,701.54 : 485,293.28 = 208,438.46 : x
  2. Step 2: Convert to fraction form
    351,701.54/485,293.28 = 208,438.46/x
  3. Step 3: Cross multiply
    351,701.54x = 485,293.28 × 208,438.46
  4. Step 4: Simplify right side
    351,701.54x = 101,153,780,462.89
  5. Step 5: Solve for x
    x = 101,153,780,462.89/351,701.54
  6. Step 6: Final answer
    x = 287,612.56

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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.