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Finding the Fourth Proportional to 412,821.36, 569,700 and 231,573.60

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Solution

The fourth proportional to 412,821.36, 569,700 and 231,573.60 is: 319,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,821.36 : 569,700 = 231,573.60 : x
  2. Step 2: Convert to fraction form
    412,821.36/569,700 = 231,573.60/x
  3. Step 3: Cross multiply
    412,821.36x = 569,700 × 231,573.60
  4. Step 4: Simplify right side
    412,821.36x = 131,927,479,920
  5. Step 5: Solve for x
    x = 131,927,479,920/412,821.36
  6. Step 6: Final answer
    x = 319,575.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.