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Finding the Fourth Proportional to 412,532.26, 569,330.10 and 231,279.17

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Solution

The fourth proportional to 412,532.26, 569,330.10 and 231,279.17 is: 319,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,532.26 : 569,330.10 = 231,279.17 : x
  2. Step 2: Convert to fraction form
    412,532.26/569,330.10 = 231,279.17/x
  3. Step 3: Cross multiply
    412,532.26x = 569,330.10 × 231,279.17
  4. Step 4: Simplify right side
    412,532.26x = 131,674,190,137.37
  5. Step 5: Solve for x
    x = 131,674,190,137.37/412,532.26
  6. Step 6: Final answer
    x = 319,185.20

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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.