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Finding the Fourth Proportional to 412,093.71, 568,560.20 and 230,781.15

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Solution

The fourth proportional to 412,093.71, 568,560.20 and 230,781.15 is: 318,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,093.71 : 568,560.20 = 230,781.15 : x
  2. Step 2: Convert to fraction form
    412,093.71/568,560.20 = 230,781.15/x
  3. Step 3: Cross multiply
    412,093.71x = 568,560.20 × 230,781.15
  4. Step 4: Simplify right side
    412,093.71x = 131,212,975,646.32
  5. Step 5: Solve for x
    x = 131,212,975,646.32/412,093.71
  6. Step 6: Final answer
    x = 318,405.67

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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.