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Finding the Fourth Proportional to 409,534.40, 614,301.60 and 267,816.80

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Solution

The fourth proportional to 409,534.40, 614,301.60 and 267,816.80 is: 401,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,534.40 : 614,301.60 = 267,816.80 : x
  2. Step 2: Convert to fraction form
    409,534.40/614,301.60 = 267,816.80/x
  3. Step 3: Cross multiply
    409,534.40x = 614,301.60 × 267,816.80
  4. Step 4: Simplify right side
    409,534.40x = 164,520,288,746.88
  5. Step 5: Solve for x
    x = 164,520,288,746.88/409,534.40
  6. Step 6: Final answer
    x = 401,725.20

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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.