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Finding the Fourth Proportional to 297,926.40, 447,062.40 and 110,956.80

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Solution

The fourth proportional to 297,926.40, 447,062.40 and 110,956.80 is: 166,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,926.40 : 447,062.40 = 110,956.80 : x
  2. Step 2: Convert to fraction form
    297,926.40/447,062.40 = 110,956.80/x
  3. Step 3: Cross multiply
    297,926.40x = 447,062.40 × 110,956.80
  4. Step 4: Simplify right side
    297,926.40x = 49,604,613,304.32
  5. Step 5: Solve for x
    x = 49,604,613,304.32/297,926.40
  6. Step 6: Final answer
    x = 166,499.56

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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.