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Finding the Fourth Proportional to 410,256.94, 614,193.66 and 238,956.34

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Solution

The fourth proportional to 410,256.94, 614,193.66 and 238,956.34 is: 357,740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,256.94 : 614,193.66 = 238,956.34 : x
  2. Step 2: Convert to fraction form
    410,256.94/614,193.66 = 238,956.34/x
  3. Step 3: Cross multiply
    410,256.94x = 614,193.66 × 238,956.34
  4. Step 4: Simplify right side
    410,256.94x = 146,765,469,044.80
  5. Step 5: Solve for x
    x = 146,765,469,044.80/410,256.94
  6. Step 6: Final answer
    x = 357,740.37

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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.