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Finding the Fourth Proportional to 411,245.80, 616,638.30 and 174,548.20

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Solution

The fourth proportional to 411,245.80, 616,638.30 and 174,548.20 is: 261,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,245.80 : 616,638.30 = 174,548.20 : x
  2. Step 2: Convert to fraction form
    411,245.80/616,638.30 = 174,548.20/x
  3. Step 3: Cross multiply
    411,245.80x = 616,638.30 × 174,548.20
  4. Step 4: Simplify right side
    411,245.80x = 107,633,105,316.06
  5. Step 5: Solve for x
    x = 107,633,105,316.06/411,245.80
  6. Step 6: Final answer
    x = 261,724.51

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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.