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Finding the Fourth Proportional to 381,633.37, 572,590.38 and 156,933.70

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Solution

The fourth proportional to 381,633.37, 572,590.38 and 156,933.70 is: 235,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,633.37 : 572,590.38 = 156,933.70 : x
  2. Step 2: Convert to fraction form
    381,633.37/572,590.38 = 156,933.70/x
  3. Step 3: Cross multiply
    381,633.37x = 572,590.38 × 156,933.70
  4. Step 4: Simplify right side
    381,633.37x = 89,858,726,917.81
  5. Step 5: Solve for x
    x = 89,858,726,917.81/381,633.37
  6. Step 6: Final answer
    x = 235,458.25

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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.