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Finding the Fourth Proportional to 511,161.53, 705,374.17 and 281,718.14

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Solution

The fourth proportional to 511,161.53, 705,374.17 and 281,718.14 is: 388,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,161.53 : 705,374.17 = 281,718.14 : x
  2. Step 2: Convert to fraction form
    511,161.53/705,374.17 = 281,718.14/x
  3. Step 3: Cross multiply
    511,161.53x = 705,374.17 × 281,718.14
  4. Step 4: Simplify right side
    511,161.53x = 198,716,694,945.28
  5. Step 5: Solve for x
    x = 198,716,694,945.28/511,161.53
  6. Step 6: Final answer
    x = 388,755.19

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Why These Related Problems?

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