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Finding the Fourth Proportional to 802,191.60, 1,203,287.40 and 329,216.40

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Solution

The fourth proportional to 802,191.60, 1,203,287.40 and 329,216.40 is: 493,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,191.60 : 1,203,287.40 = 329,216.40 : x
  2. Step 2: Convert to fraction form
    802,191.60/1,203,287.40 = 329,216.40/x
  3. Step 3: Cross multiply
    802,191.60x = 1,203,287.40 × 329,216.40
  4. Step 4: Simplify right side
    802,191.60x = 396,141,945,993.36
  5. Step 5: Solve for x
    x = 396,141,945,993.36/802,191.60
  6. Step 6: Final answer
    x = 493,824.60

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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.