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Finding the Fourth Proportional to 410,699.32, 566,765.94 and 231,851.32

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Solution

The fourth proportional to 410,699.32, 566,765.94 and 231,851.32 is: 319,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,699.32 : 566,765.94 = 231,851.32 : x
  2. Step 2: Convert to fraction form
    410,699.32/566,765.94 = 231,851.32/x
  3. Step 3: Cross multiply
    410,699.32x = 566,765.94 × 231,851.32
  4. Step 4: Simplify right side
    410,699.32x = 131,405,431,320.04
  5. Step 5: Solve for x
    x = 131,405,431,320.04/410,699.32
  6. Step 6: Final answer
    x = 319,955.32

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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.