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Finding the Fourth Proportional to 565,341, 848,400.32 and 232,917

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Solution

The fourth proportional to 565,341, 848,400.32 and 232,917 is: 349,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,341 : 848,400.32 = 232,917 : x
  2. Step 2: Convert to fraction form
    565,341/848,400.32 = 232,917/x
  3. Step 3: Cross multiply
    565,341x = 848,400.32 × 232,917
  4. Step 4: Simplify right side
    565,341x = 197,606,857,333.44
  5. Step 5: Solve for x
    x = 197,606,857,333.44/565,341
  6. Step 6: Final answer
    x = 349,535.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.