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Finding the Fourth Proportional to 295,689.45, 443,485.65 and 82,471.86

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Solution

The fourth proportional to 295,689.45, 443,485.65 and 82,471.86 is: 123,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,689.45 : 443,485.65 = 82,471.86 : x
  2. Step 2: Convert to fraction form
    295,689.45/443,485.65 = 82,471.86/x
  3. Step 3: Cross multiply
    295,689.45x = 443,485.65 × 82,471.86
  4. Step 4: Simplify right side
    295,689.45x = 36,575,086,438.81
  5. Step 5: Solve for x
    x = 36,575,086,438.81/295,689.45
  6. Step 6: Final answer
    x = 123,694.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.