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Finding the Fourth Proportional to 494,618.33, 682,646.64 and 313,347.08

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Solution

The fourth proportional to 494,618.33, 682,646.64 and 313,347.08 is: 432,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,618.33 : 682,646.64 = 313,347.08 : x
  2. Step 2: Convert to fraction form
    494,618.33/682,646.64 = 313,347.08/x
  3. Step 3: Cross multiply
    494,618.33x = 682,646.64 × 313,347.08
  4. Step 4: Simplify right side
    494,618.33x = 213,905,331,847.38
  5. Step 5: Solve for x
    x = 213,905,331,847.38/494,618.33
  6. Step 6: Final answer
    x = 432,465.43

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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.