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Finding the Fourth Proportional to 558,819.81, 838,371.20 and 159,462

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Solution

The fourth proportional to 558,819.81, 838,371.20 and 159,462 is: 239,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,819.81 : 838,371.20 = 159,462 : x
  2. Step 2: Convert to fraction form
    558,819.81/838,371.20 = 159,462/x
  3. Step 3: Cross multiply
    558,819.81x = 838,371.20 × 159,462
  4. Step 4: Simplify right side
    558,819.81x = 133,688,347,497.09
  5. Step 5: Solve for x
    x = 133,688,347,497.09/558,819.81
  6. Step 6: Final answer
    x = 239,233.37

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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.