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Finding the Fourth Proportional to 311,777.51, 429,966.02 and 204,308.51

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Solution

The fourth proportional to 311,777.51, 429,966.02 and 204,308.51 is: 281,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,777.51 : 429,966.02 = 204,308.51 : x
  2. Step 2: Convert to fraction form
    311,777.51/429,966.02 = 204,308.51/x
  3. Step 3: Cross multiply
    311,777.51x = 429,966.02 × 204,308.51
  4. Step 4: Simplify right side
    311,777.51x = 87,845,715,257.77
  5. Step 5: Solve for x
    x = 87,845,715,257.77/311,777.51
  6. Step 6: Final answer
    x = 281,757.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.