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Finding the Fourth Proportional to 401,396.40, 601,584.30 and 164,471.40

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Solution

The fourth proportional to 401,396.40, 601,584.30 and 164,471.40 is: 246,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,396.40 : 601,584.30 = 164,471.40 : x
  2. Step 2: Convert to fraction form
    401,396.40/601,584.30 = 164,471.40/x
  3. Step 3: Cross multiply
    401,396.40x = 601,584.30 × 164,471.40
  4. Step 4: Simplify right side
    401,396.40x = 98,943,412,039.02
  5. Step 5: Solve for x
    x = 98,943,412,039.02/401,396.40
  6. Step 6: Final answer
    x = 246,498.01

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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.