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Finding the Fourth Proportional to 298,726.10, 447,797.55 and 267,233.30

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Solution

The fourth proportional to 298,726.10, 447,797.55 and 267,233.30 is: 400,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,726.10 : 447,797.55 = 267,233.30 : x
  2. Step 2: Convert to fraction form
    298,726.10/447,797.55 = 267,233.30/x
  3. Step 3: Cross multiply
    298,726.10x = 447,797.55 × 267,233.30
  4. Step 4: Simplify right side
    298,726.10x = 119,666,417,018.42
  5. Step 5: Solve for x
    x = 119,666,417,018.42/298,726.10
  6. Step 6: Final answer
    x = 400,589.09

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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.