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Finding the Fourth Proportional to 474,321.72, 711,532.43 and 154,498.53

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Solution

The fourth proportional to 474,321.72, 711,532.43 and 154,498.53 is: 231,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,321.72 : 711,532.43 = 154,498.53 : x
  2. Step 2: Convert to fraction form
    474,321.72/711,532.43 = 154,498.53/x
  3. Step 3: Cross multiply
    474,321.72x = 711,532.43 × 154,498.53
  4. Step 4: Simplify right side
    474,321.72x = 109,930,713,709.84
  5. Step 5: Solve for x
    x = 109,930,713,709.84/474,321.72
  6. Step 6: Final answer
    x = 231,764.03

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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.