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Finding the Fourth Proportional to 411,447.40, 616,977.26 and 267,119.76

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Solution

The fourth proportional to 411,447.40, 616,977.26 and 267,119.76 is: 400,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,447.40 : 616,977.26 = 267,119.76 : x
  2. Step 2: Convert to fraction form
    411,447.40/616,977.26 = 267,119.76/x
  3. Step 3: Cross multiply
    411,447.40x = 616,977.26 × 267,119.76
  4. Step 4: Simplify right side
    411,447.40x = 164,806,817,616.66
  5. Step 5: Solve for x
    x = 164,806,817,616.66/411,447.40
  6. Step 6: Final answer
    x = 400,553.80

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1.5x scale

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.