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Finding the Fourth Proportional to 493,104, 739,706.98 and 156,190.52

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Solution

The fourth proportional to 493,104, 739,706.98 and 156,190.52 is: 234,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,104 : 739,706.98 = 156,190.52 : x
  2. Step 2: Convert to fraction form
    493,104/739,706.98 = 156,190.52/x
  3. Step 3: Cross multiply
    493,104x = 739,706.98 × 156,190.52
  4. Step 4: Simplify right side
    493,104x = 115,535,217,853.83
  5. Step 5: Solve for x
    x = 115,535,217,853.83/493,104
  6. Step 6: Final answer
    x = 234,301.93

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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.