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Finding the Fourth Proportional to 825,864.30, 1,238,796.45 and 825,864.30

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Solution

The fourth proportional to 825,864.30, 1,238,796.45 and 825,864.30 is: 1,238,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,864.30 : 1,238,796.45 = 825,864.30 : x
  2. Step 2: Convert to fraction form
    825,864.30/1,238,796.45 = 825,864.30/x
  3. Step 3: Cross multiply
    825,864.30x = 1,238,796.45 × 825,864.30
  4. Step 4: Simplify right side
    825,864.30x = 1,023,077,763,021.74
  5. Step 5: Solve for x
    x = 1,023,077,763,021.74/825,864.30
  6. Step 6: Final answer
    x = 1,238,796.45

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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.