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Finding the Fourth Proportional to 311,684.86, 430,196.66 and 190,892.71

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Solution

The fourth proportional to 311,684.86, 430,196.66 and 190,892.71 is: 263,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,684.86 : 430,196.66 = 190,892.71 : x
  2. Step 2: Convert to fraction form
    311,684.86/430,196.66 = 190,892.71/x
  3. Step 3: Cross multiply
    311,684.86x = 430,196.66 × 190,892.71
  4. Step 4: Simplify right side
    311,684.86x = 82,121,406,260.35
  5. Step 5: Solve for x
    x = 82,121,406,260.35/311,684.86
  6. Step 6: Final answer
    x = 263,475.76

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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.