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Finding the Fourth Proportional to 285,951.67, 428,628.20 and 96,346.51

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Solution

The fourth proportional to 285,951.67, 428,628.20 and 96,346.51 is: 144,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,951.67 : 428,628.20 = 96,346.51 : x
  2. Step 2: Convert to fraction form
    285,951.67/428,628.20 = 96,346.51/x
  3. Step 3: Cross multiply
    285,951.67x = 428,628.20 × 96,346.51
  4. Step 4: Simplify right side
    285,951.67x = 41,296,831,157.58
  5. Step 5: Solve for x
    x = 41,296,831,157.58/285,951.67
  6. Step 6: Final answer
    x = 144,418.92

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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.