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Finding the Fourth Proportional to 299,315.40, 447,677.10 and 267,952.20

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Solution

The fourth proportional to 299,315.40, 447,677.10 and 267,952.20 is: 400,768.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,315.40 : 447,677.10 = 267,952.20 : x
  2. Step 2: Convert to fraction form
    299,315.40/447,677.10 = 267,952.20/x
  3. Step 3: Cross multiply
    299,315.40x = 447,677.10 × 267,952.20
  4. Step 4: Simplify right side
    299,315.40x = 119,956,063,834.62
  5. Step 5: Solve for x
    x = 119,956,063,834.62/299,315.40
  6. Step 6: Final answer
    x = 400,768.10

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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.