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Finding the Fourth Proportional to 759,468, 1,138,456.80 and 422,670

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Solution

The fourth proportional to 759,468, 1,138,456.80 and 422,670 is: 633,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,468 : 1,138,456.80 = 422,670 : x
  2. Step 2: Convert to fraction form
    759,468/1,138,456.80 = 422,670/x
  3. Step 3: Cross multiply
    759,468x = 1,138,456.80 × 422,670
  4. Step 4: Simplify right side
    759,468x = 481,191,535,656
  5. Step 5: Solve for x
    x = 481,191,535,656/759,468
  6. Step 6: Final answer
    x = 633,590.27

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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.