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Finding the Fourth Proportional to 493,193.50, 739,727.88 and 156,268.33

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Solution

The fourth proportional to 493,193.50, 739,727.88 and 156,268.33 is: 234,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,193.50 : 739,727.88 = 156,268.33 : x
  2. Step 2: Convert to fraction form
    493,193.50/739,727.88 = 156,268.33/x
  3. Step 3: Cross multiply
    493,193.50x = 739,727.88 × 156,268.33
  4. Step 4: Simplify right side
    493,193.50x = 115,596,038,026.71
  5. Step 5: Solve for x
    x = 115,596,038,026.71/493,193.50
  6. Step 6: Final answer
    x = 234,382.73

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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.