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Finding the Fourth Proportional to 362,665.42, 500,269.68 and 226,462.90

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Solution

The fourth proportional to 362,665.42, 500,269.68 and 226,462.90 is: 312,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,665.42 : 500,269.68 = 226,462.90 : x
  2. Step 2: Convert to fraction form
    362,665.42/500,269.68 = 226,462.90/x
  3. Step 3: Cross multiply
    362,665.42x = 500,269.68 × 226,462.90
  4. Step 4: Simplify right side
    362,665.42x = 113,292,522,514.87
  5. Step 5: Solve for x
    x = 113,292,522,514.87/362,665.42
  6. Step 6: Final answer
    x = 312,388.54

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1.5x scale

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.