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Finding the Fourth Proportional to 531,760.32, 797,231.59 and 275,318.03

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Solution

The fourth proportional to 531,760.32, 797,231.59 and 275,318.03 is: 412,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,760.32 : 797,231.59 = 275,318.03 : x
  2. Step 2: Convert to fraction form
    531,760.32/797,231.59 = 275,318.03/x
  3. Step 3: Cross multiply
    531,760.32x = 797,231.59 × 275,318.03
  4. Step 4: Simplify right side
    531,760.32x = 219,492,230,812.57
  5. Step 5: Solve for x
    x = 219,492,230,812.57/531,760.32
  6. Step 6: Final answer
    x = 412,765.34

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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.