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Finding the Fourth Proportional to 275,423.73, 413,010.90 and 97,935.42

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Solution

The fourth proportional to 275,423.73, 413,010.90 and 97,935.42 is: 146,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,423.73 : 413,010.90 = 97,935.42 : x
  2. Step 2: Convert to fraction form
    275,423.73/413,010.90 = 97,935.42/x
  3. Step 3: Cross multiply
    275,423.73x = 413,010.90 × 97,935.42
  4. Step 4: Simplify right side
    275,423.73x = 40,448,395,956.08
  5. Step 5: Solve for x
    x = 40,448,395,956.08/275,423.73
  6. Step 6: Final answer
    x = 146,858.79

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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.