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Finding the Fourth Proportional to 410,873.84, 567,080.28 and 265,858.16

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Solution

The fourth proportional to 410,873.84, 567,080.28 and 265,858.16 is: 366,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,873.84 : 567,080.28 = 265,858.16 : x
  2. Step 2: Convert to fraction form
    410,873.84/567,080.28 = 265,858.16/x
  3. Step 3: Cross multiply
    410,873.84x = 567,080.28 × 265,858.16
  4. Step 4: Simplify right side
    410,873.84x = 150,762,919,813.09
  5. Step 5: Solve for x
    x = 150,762,919,813.09/410,873.84
  6. Step 6: Final answer
    x = 366,932.39

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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.