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Finding the Fourth Proportional to 304,012.31, 419,537.08 and 166,191.84

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Solution

The fourth proportional to 304,012.31, 419,537.08 and 166,191.84 is: 229,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,012.31 : 419,537.08 = 166,191.84 : x
  2. Step 2: Convert to fraction form
    304,012.31/419,537.08 = 166,191.84/x
  3. Step 3: Cross multiply
    304,012.31x = 419,537.08 × 166,191.84
  4. Step 4: Simplify right side
    304,012.31x = 69,723,637,047.17
  5. Step 5: Solve for x
    x = 69,723,637,047.17/304,012.31
  6. Step 6: Final answer
    x = 229,344.78

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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.