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Finding the Fourth Proportional to 497,530, 746,411.64 and 165,106

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Solution

The fourth proportional to 497,530, 746,411.64 and 165,106 is: 247,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,530 : 746,411.64 = 165,106 : x
  2. Step 2: Convert to fraction form
    497,530/746,411.64 = 165,106/x
  3. Step 3: Cross multiply
    497,530x = 746,411.64 × 165,106
  4. Step 4: Simplify right side
    497,530x = 123,237,040,233.84
  5. Step 5: Solve for x
    x = 123,237,040,233.84/497,530
  6. Step 6: Final answer
    x = 247,697.71

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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.