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Finding the Fourth Proportional to 511,163.58, 705,408.63 and 296,431.14

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Solution

The fourth proportional to 511,163.58, 705,408.63 and 296,431.14 is: 409,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,163.58 : 705,408.63 = 296,431.14 : x
  2. Step 2: Convert to fraction form
    511,163.58/705,408.63 = 296,431.14/x
  3. Step 3: Cross multiply
    511,163.58x = 705,408.63 × 296,431.14
  4. Step 4: Simplify right side
    511,163.58x = 209,105,084,356.74
  5. Step 5: Solve for x
    x = 209,105,084,356.74/511,163.58
  6. Step 6: Final answer
    x = 409,076.65

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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.