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Finding the Fourth Proportional to 766,296.85, 1,057,448.10 and 422,065.80

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Solution

The fourth proportional to 766,296.85, 1,057,448.10 and 422,065.80 is: 582,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,296.85 : 1,057,448.10 = 422,065.80 : x
  2. Step 2: Convert to fraction form
    766,296.85/1,057,448.10 = 422,065.80/x
  3. Step 3: Cross multiply
    766,296.85x = 1,057,448.10 × 422,065.80
  4. Step 4: Simplify right side
    766,296.85x = 446,312,678,284.98
  5. Step 5: Solve for x
    x = 446,312,678,284.98/766,296.85
  6. Step 6: Final answer
    x = 582,427.92

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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.