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Finding the Fourth Proportional to 311,563.86, 429,958.26 and 168,323.64

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Solution

The fourth proportional to 311,563.86, 429,958.26 and 168,323.64 is: 232,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,563.86 : 429,958.26 = 168,323.64 : x
  2. Step 2: Convert to fraction form
    311,563.86/429,958.26 = 168,323.64/x
  3. Step 3: Cross multiply
    311,563.86x = 429,958.26 × 168,323.64
  4. Step 4: Simplify right side
    311,563.86x = 72,372,139,371.27
  5. Step 5: Solve for x
    x = 72,372,139,371.27/311,563.86
  6. Step 6: Final answer
    x = 232,286.70

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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.