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Finding the Fourth Proportional to 401,054.06, 553,454.44 and 222,206.06

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Solution

The fourth proportional to 401,054.06, 553,454.44 and 222,206.06 is: 306,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,054.06 : 553,454.44 = 222,206.06 : x
  2. Step 2: Convert to fraction form
    401,054.06/553,454.44 = 222,206.06/x
  3. Step 3: Cross multiply
    401,054.06x = 553,454.44 × 222,206.06
  4. Step 4: Simplify right side
    401,054.06x = 122,980,927,179.12
  5. Step 5: Solve for x
    x = 122,980,927,179.12/401,054.06
  6. Step 6: Final answer
    x = 306,644.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.