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Finding the Fourth Proportional to 304,822.60, 456,197.10 and 267,497.80

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Solution

The fourth proportional to 304,822.60, 456,197.10 and 267,497.80 is: 400,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,822.60 : 456,197.10 = 267,497.80 : x
  2. Step 2: Convert to fraction form
    304,822.60/456,197.10 = 267,497.80/x
  3. Step 3: Cross multiply
    304,822.60x = 456,197.10 × 267,497.80
  4. Step 4: Simplify right side
    304,822.60x = 122,031,720,616.38
  5. Step 5: Solve for x
    x = 122,031,720,616.38/304,822.60
  6. Step 6: Final answer
    x = 400,336.85

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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.