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Finding the Fourth Proportional to 304,821.60, 456,195.60 and 267,496.80

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Solution

The fourth proportional to 304,821.60, 456,195.60 and 267,496.80 is: 400,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,821.60 : 456,195.60 = 267,496.80 : x
  2. Step 2: Convert to fraction form
    304,821.60/456,195.60 = 267,496.80/x
  3. Step 3: Cross multiply
    304,821.60x = 456,195.60 × 267,496.80
  4. Step 4: Simplify right side
    304,821.60x = 122,030,863,174.08
  5. Step 5: Solve for x
    x = 122,030,863,174.08/304,821.60
  6. Step 6: Final answer
    x = 400,335.35

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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.