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Finding the Fourth Proportional to 748,743.75, 1,033,266.33 and 409,212

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Solution

The fourth proportional to 748,743.75, 1,033,266.33 and 409,212 is: 564,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,743.75 : 1,033,266.33 = 409,212 : x
  2. Step 2: Convert to fraction form
    748,743.75/1,033,266.33 = 409,212/x
  3. Step 3: Cross multiply
    748,743.75x = 1,033,266.33 × 409,212
  4. Step 4: Simplify right side
    748,743.75x = 422,824,981,431.96
  5. Step 5: Solve for x
    x = 422,824,981,431.96/748,743.75
  6. Step 6: Final answer
    x = 564,712.54

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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.