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Finding the Fourth Proportional to 411,235.20, 616,276.80 and 327,139.20

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Solution

The fourth proportional to 411,235.20, 616,276.80 and 327,139.20 is: 490,250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,235.20 : 616,276.80 = 327,139.20 : x
  2. Step 2: Convert to fraction form
    411,235.20/616,276.80 = 327,139.20/x
  3. Step 3: Cross multiply
    411,235.20x = 616,276.80 × 327,139.20
  4. Step 4: Simplify right side
    411,235.20x = 201,608,299,330.56
  5. Step 5: Solve for x
    x = 201,608,299,330.56/411,235.20
  6. Step 6: Final answer
    x = 490,250.59

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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.