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Finding the Fourth Proportional to 291,281.85, 401,761.94 and 194,436.90

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Solution

The fourth proportional to 291,281.85, 401,761.94 and 194,436.90 is: 268,184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,281.85 : 401,761.94 = 194,436.90 : x
  2. Step 2: Convert to fraction form
    291,281.85/401,761.94 = 194,436.90/x
  3. Step 3: Cross multiply
    291,281.85x = 401,761.94 × 194,436.90
  4. Step 4: Simplify right side
    291,281.85x = 78,117,345,179.40
  5. Step 5: Solve for x
    x = 78,117,345,179.40/291,281.85
  6. Step 6: Final answer
    x = 268,184.73

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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.