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Finding the Fourth Proportional to 409,415.84, 614,123.75 and 159,922.88

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Solution

The fourth proportional to 409,415.84, 614,123.75 and 159,922.88 is: 239,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,415.84 : 614,123.75 = 159,922.88 : x
  2. Step 2: Convert to fraction form
    409,415.84/614,123.75 = 159,922.88/x
  3. Step 3: Cross multiply
    409,415.84x = 614,123.75 × 159,922.88
  4. Step 4: Simplify right side
    409,415.84x = 98,212,436,105.59
  5. Step 5: Solve for x
    x = 98,212,436,105.59/409,415.84
  6. Step 6: Final answer
    x = 239,884.31

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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.