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Finding the Fourth Proportional to 467,164.82, 644,645.16 and 263,248.94

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Solution

The fourth proportional to 467,164.82, 644,645.16 and 263,248.94 is: 363,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,164.82 : 644,645.16 = 263,248.94 : x
  2. Step 2: Convert to fraction form
    467,164.82/644,645.16 = 263,248.94/x
  3. Step 3: Cross multiply
    467,164.82x = 644,645.16 × 263,248.94
  4. Step 4: Simplify right side
    467,164.82x = 169,702,155,046.13
  5. Step 5: Solve for x
    x = 169,702,155,046.13/467,164.82
  6. Step 6: Final answer
    x = 363,259.71

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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.