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Finding the Fourth Proportional to 495,874.94, 743,516.76 and 196,398.50

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Solution

The fourth proportional to 495,874.94, 743,516.76 and 196,398.50 is: 294,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,874.94 : 743,516.76 = 196,398.50 : x
  2. Step 2: Convert to fraction form
    495,874.94/743,516.76 = 196,398.50/x
  3. Step 3: Cross multiply
    495,874.94x = 743,516.76 × 196,398.50
  4. Step 4: Simplify right side
    495,874.94x = 146,025,576,388.86
  5. Step 5: Solve for x
    x = 146,025,576,388.86/495,874.94
  6. Step 6: Final answer
    x = 294,480.65

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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.