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Finding the Fourth Proportional to 312,279.19, 431,153.40 and 210,456.07

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Solution

The fourth proportional to 312,279.19, 431,153.40 and 210,456.07 is: 290,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,279.19 : 431,153.40 = 210,456.07 : x
  2. Step 2: Convert to fraction form
    312,279.19/431,153.40 = 210,456.07/x
  3. Step 3: Cross multiply
    312,279.19x = 431,153.40 × 210,456.07
  4. Step 4: Simplify right side
    312,279.19x = 90,738,850,131.14
  5. Step 5: Solve for x
    x = 90,738,850,131.14/312,279.19
  6. Step 6: Final answer
    x = 290,569.63

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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.