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Finding the Fourth Proportional to 401,016.44, 601,509.30 and 134,940.28

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Solution

The fourth proportional to 401,016.44, 601,509.30 and 134,940.28 is: 202,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,016.44 : 601,509.30 = 134,940.28 : x
  2. Step 2: Convert to fraction form
    401,016.44/601,509.30 = 134,940.28/x
  3. Step 3: Cross multiply
    401,016.44x = 601,509.30 × 134,940.28
  4. Step 4: Simplify right side
    401,016.44x = 81,167,833,364.60
  5. Step 5: Solve for x
    x = 81,167,833,364.60/401,016.44
  6. Step 6: Final answer
    x = 202,405.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.