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Finding the Fourth Proportional to 642,383.74, 963,576.32 and 193,104.56

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Solution

The fourth proportional to 642,383.74, 963,576.32 and 193,104.56 is: 289,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,383.74 : 963,576.32 = 193,104.56 : x
  2. Step 2: Convert to fraction form
    642,383.74/963,576.32 = 193,104.56/x
  3. Step 3: Cross multiply
    642,383.74x = 963,576.32 × 193,104.56
  4. Step 4: Simplify right side
    642,383.74x = 186,070,981,300.02
  5. Step 5: Solve for x
    x = 186,070,981,300.02/642,383.74
  6. Step 6: Final answer
    x = 289,657.05

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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.