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Finding the Fourth Proportional to 278,662.83, 384,559.16 and 151,338.42

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Solution

The fourth proportional to 278,662.83, 384,559.16 and 151,338.42 is: 208,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,662.83 : 384,559.16 = 151,338.42 : x
  2. Step 2: Convert to fraction form
    278,662.83/384,559.16 = 151,338.42/x
  3. Step 3: Cross multiply
    278,662.83x = 384,559.16 × 151,338.42
  4. Step 4: Simplify right side
    278,662.83x = 58,198,574,914.24
  5. Step 5: Solve for x
    x = 58,198,574,914.24/278,662.83
  6. Step 6: Final answer
    x = 208,849.44

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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.