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Finding the Fourth Proportional to 311,015.52, 429,408 and 239,268.96

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Solution

The fourth proportional to 311,015.52, 429,408 and 239,268.96 is: 330,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,015.52 : 429,408 = 239,268.96 : x
  2. Step 2: Convert to fraction form
    311,015.52/429,408 = 239,268.96/x
  3. Step 3: Cross multiply
    311,015.52x = 429,408 × 239,268.96
  4. Step 4: Simplify right side
    311,015.52x = 102,744,005,575.68
  5. Step 5: Solve for x
    x = 102,744,005,575.68/311,015.52
  6. Step 6: Final answer
    x = 330,350.09

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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.