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Finding the Fourth Proportional to 594,202.80, 820,318.56 and 458,936.88

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Solution

The fourth proportional to 594,202.80, 820,318.56 and 458,936.88 is: 633,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,202.80 : 820,318.56 = 458,936.88 : x
  2. Step 2: Convert to fraction form
    594,202.80/820,318.56 = 458,936.88/x
  3. Step 3: Cross multiply
    594,202.80x = 820,318.56 × 458,936.88
  4. Step 4: Simplify right side
    594,202.80x = 376,474,440,532.49
  5. Step 5: Solve for x
    x = 376,474,440,532.49/594,202.80
  6. Step 6: Final answer
    x = 633,579.04

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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.