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Finding the Fourth Proportional to 401,534.40, 601,610.40 and 211,713.60

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Solution

The fourth proportional to 401,534.40, 601,610.40 and 211,713.60 is: 317,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,534.40 : 601,610.40 = 211,713.60 : x
  2. Step 2: Convert to fraction form
    401,534.40/601,610.40 = 211,713.60/x
  3. Step 3: Cross multiply
    401,534.40x = 601,610.40 × 211,713.60
  4. Step 4: Simplify right side
    401,534.40x = 127,369,103,581.44
  5. Step 5: Solve for x
    x = 127,369,103,581.44/401,534.40
  6. Step 6: Final answer
    x = 317,205.96

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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.