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Finding the Fourth Proportional to 492,109.29, 738,163.89 and 281,598.39

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Solution

The fourth proportional to 492,109.29, 738,163.89 and 281,598.39 is: 422,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,109.29 : 738,163.89 = 281,598.39 : x
  2. Step 2: Convert to fraction form
    492,109.29/738,163.89 = 281,598.39/x
  3. Step 3: Cross multiply
    492,109.29x = 738,163.89 × 281,598.39
  4. Step 4: Simplify right side
    492,109.29x = 207,865,762,980.14
  5. Step 5: Solve for x
    x = 207,865,762,980.14/492,109.29
  6. Step 6: Final answer
    x = 422,397.56

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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.