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Finding the Fourth Proportional to 468,652.38, 646,735.23 and 264,703.70

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Solution

The fourth proportional to 468,652.38, 646,735.23 and 264,703.70 is: 365,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,652.38 : 646,735.23 = 264,703.70 : x
  2. Step 2: Convert to fraction form
    468,652.38/646,735.23 = 264,703.70/x
  3. Step 3: Cross multiply
    468,652.38x = 646,735.23 × 264,703.70
  4. Step 4: Simplify right side
    468,652.38x = 171,193,205,067.68
  5. Step 5: Solve for x
    x = 171,193,205,067.68/468,652.38
  6. Step 6: Final answer
    x = 365,288.24

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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.