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Finding the Fourth Proportional to 401,196.80, 601,406.40 and 164,223.20

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Solution

The fourth proportional to 401,196.80, 601,406.40 and 164,223.20 is: 246,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,196.80 : 601,406.40 = 164,223.20 : x
  2. Step 2: Convert to fraction form
    401,196.80/601,406.40 = 164,223.20/x
  3. Step 3: Cross multiply
    401,196.80x = 601,406.40 × 164,223.20
  4. Step 4: Simplify right side
    401,196.80x = 98,764,883,508.48
  5. Step 5: Solve for x
    x = 98,764,883,508.48/401,196.80
  6. Step 6: Final answer
    x = 246,175.65

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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.