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Finding the Fourth Proportional to 766,775.64, 1,150,163.73 and 205,810.14

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Solution

The fourth proportional to 766,775.64, 1,150,163.73 and 205,810.14 is: 308,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,775.64 : 1,150,163.73 = 205,810.14 : x
  2. Step 2: Convert to fraction form
    766,775.64/1,150,163.73 = 205,810.14/x
  3. Step 3: Cross multiply
    766,775.64x = 1,150,163.73 × 205,810.14
  4. Step 4: Simplify right side
    766,775.64x = 236,715,358,294.22
  5. Step 5: Solve for x
    x = 236,715,358,294.22/766,775.64
  6. Step 6: Final answer
    x = 308,715.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.