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Finding the Fourth Proportional to 495,793.97, 683,943.83 and 323,812.69

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Solution

The fourth proportional to 495,793.97, 683,943.83 and 323,812.69 is: 446,697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,793.97 : 683,943.83 = 323,812.69 : x
  2. Step 2: Convert to fraction form
    495,793.97/683,943.83 = 323,812.69/x
  3. Step 3: Cross multiply
    495,793.97x = 683,943.83 × 323,812.69
  4. Step 4: Simplify right side
    495,793.97x = 221,469,688,072.28
  5. Step 5: Solve for x
    x = 221,469,688,072.28/495,793.97
  6. Step 6: Final answer
    x = 446,697.02

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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.