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Finding the Fourth Proportional to 649,461, 973,336.14 and 275,020.68

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Solution

The fourth proportional to 649,461, 973,336.14 and 275,020.68 is: 412,168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,461 : 973,336.14 = 275,020.68 : x
  2. Step 2: Convert to fraction form
    649,461/973,336.14 = 275,020.68/x
  3. Step 3: Cross multiply
    649,461x = 973,336.14 × 275,020.68
  4. Step 4: Simplify right side
    649,461x = 267,687,567,091.38
  5. Step 5: Solve for x
    x = 267,687,567,091.38/649,461
  6. Step 6: Final answer
    x = 412,168.81

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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.