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Finding the Fourth Proportional to 565,326, 848,377.80 and 232,902

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Solution

The fourth proportional to 565,326, 848,377.80 and 232,902 is: 349,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,326 : 848,377.80 = 232,902 : x
  2. Step 2: Convert to fraction form
    565,326/848,377.80 = 232,902/x
  3. Step 3: Cross multiply
    565,326x = 848,377.80 × 232,902
  4. Step 4: Simplify right side
    565,326x = 197,588,886,375.60
  5. Step 5: Solve for x
    x = 197,588,886,375.60/565,326
  6. Step 6: Final answer
    x = 349,513.18

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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.