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Finding the Fourth Proportional to 401,564.92, 554,164.74 and 220,265

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Solution

The fourth proportional to 401,564.92, 554,164.74 and 220,265 is: 303,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,564.92 : 554,164.74 = 220,265 : x
  2. Step 2: Convert to fraction form
    401,564.92/554,164.74 = 220,265/x
  3. Step 3: Cross multiply
    401,564.92x = 554,164.74 × 220,265
  4. Step 4: Simplify right side
    401,564.92x = 122,063,096,456.10
  5. Step 5: Solve for x
    x = 122,063,096,456.10/401,564.92
  6. Step 6: Final answer
    x = 303,968.53

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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.