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Finding the Fourth Proportional to 401,102.80, 553,533 and 222,254.80

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Solution

The fourth proportional to 401,102.80, 553,533 and 222,254.80 is: 306,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,102.80 : 553,533 = 222,254.80 : x
  2. Step 2: Convert to fraction form
    401,102.80/553,533 = 222,254.80/x
  3. Step 3: Cross multiply
    401,102.80x = 553,533 × 222,254.80
  4. Step 4: Simplify right side
    401,102.80x = 123,025,366,208.40
  5. Step 5: Solve for x
    x = 123,025,366,208.40/401,102.80
  6. Step 6: Final answer
    x = 306,717.79

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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.