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Finding the Fourth Proportional to 278,505.83, 384,230.38 and 157,619.39

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Solution

The fourth proportional to 278,505.83, 384,230.38 and 157,619.39 is: 217,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,505.83 : 384,230.38 = 157,619.39 : x
  2. Step 2: Convert to fraction form
    278,505.83/384,230.38 = 157,619.39/x
  3. Step 3: Cross multiply
    278,505.83x = 384,230.38 × 157,619.39
  4. Step 4: Simplify right side
    278,505.83x = 60,562,158,115.07
  5. Step 5: Solve for x
    x = 60,562,158,115.07/278,505.83
  6. Step 6: Final answer
    x = 217,453.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.