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Finding the Fourth Proportional to 401,245.40, 601,868.10 and 179,629.40

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Solution

The fourth proportional to 401,245.40, 601,868.10 and 179,629.40 is: 269,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,245.40 : 601,868.10 = 179,629.40 : x
  2. Step 2: Convert to fraction form
    401,245.40/601,868.10 = 179,629.40/x
  3. Step 3: Cross multiply
    401,245.40x = 601,868.10 × 179,629.40
  4. Step 4: Simplify right side
    401,245.40x = 108,113,205,682.14
  5. Step 5: Solve for x
    x = 108,113,205,682.14/401,245.40
  6. Step 6: Final answer
    x = 269,444.10

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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.