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Finding the Fourth Proportional to 565,327, 848,379.30 and 232,903

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Solution

The fourth proportional to 565,327, 848,379.30 and 232,903 is: 349,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,327 : 848,379.30 = 232,903 : x
  2. Step 2: Convert to fraction form
    565,327/848,379.30 = 232,903/x
  3. Step 3: Cross multiply
    565,327x = 848,379.30 × 232,903
  4. Step 4: Simplify right side
    565,327x = 197,590,084,107.90
  5. Step 5: Solve for x
    x = 197,590,084,107.90/565,327
  6. Step 6: Final answer
    x = 349,514.68

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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.