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Finding the Fourth Proportional to 223,676, 335,514 and 57,464

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Solution

The fourth proportional to 223,676, 335,514 and 57,464 is: 86,196

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,676 : 335,514 = 57,464 : x
  2. Step 2: Convert to fraction form
    223,676/335,514 = 57,464/x
  3. Step 3: Cross multiply
    223,676x = 335,514 × 57,464
  4. Step 4: Simplify right side
    223,676x = 19,279,976,496
  5. Step 5: Solve for x
    x = 19,279,976,496/223,676
  6. Step 6: Final answer
    x = 86,196

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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.