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Finding the Fourth Proportional to 411,193.20, 616,213.80 and 327,097.20

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Solution

The fourth proportional to 411,193.20, 616,213.80 and 327,097.20 is: 490,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,193.20 : 616,213.80 = 327,097.20 : x
  2. Step 2: Convert to fraction form
    411,193.20/616,213.80 = 327,097.20/x
  3. Step 3: Cross multiply
    411,193.20x = 616,213.80 × 327,097.20
  4. Step 4: Simplify right side
    411,193.20x = 201,561,808,581.36
  5. Step 5: Solve for x
    x = 201,561,808,581.36/411,193.20
  6. Step 6: Final answer
    x = 490,187.60

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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.